473 quotes found
""Most people have music in the center of their lives. I believe my work sheds light on how music affects us and why it is so influential." from http://web.archive.org/20030225083736/www.ucla.edu/spotlight/archive/html_2001_2002/fac0502_mcclalry.html"
"Rather than protecting music as a sublimely meaningless activity that has managed to escape social signification, I insist on treating it as a medium that participates in social formation by influencing the ways we perceive our feelings, our bodies, our desires, our very subjectivities - even if it does so surreptitiously, without most of us knowning how. It is too important a cultural force to be shrouded by mystified notions of Romantic transcendence."
"Tonality itself - with its process of instilling expectations and subsequently withholding promised fulfillment until climax - is the principal musical means during the period from 1600 to 1900 for arousing and channeling desire."
"The point of recapitulation in the first movement of Beethoven's Ninth Symphony unleashes one of the most horrifyingly violent episodes in the history of music....The point is not to hold up Beethoven as exceptionally monstrous. The Ninth Symphony is probably our most compelling articulation in music of the contradictory impulses that have organized patriarchal culture since the Enlightenment. Moreover, within the parameters of his own musical compositions, he may be heard as enacting a critique of narrative obligations that is...devastating."
"If I tend to reread the European past in my own Postmodern image, if I frequently write about Bach and Beethoven in the same ways in which I discuss the Artist Formerly Known as Prince and John Zorn, it is not to denigrate the canon but rather to show the power of music all throughout its history as a signifying practice. For this is how culture always works—always grounded in codes and social contracts, always open to fusions, extensions, transformations. To me, music never seems so trivial as in its 'purely musical' readings. If there was at one time a rationale for adopting such an intellectual position, that time has long since past. And if the belief in the nineteenth-century notion of aesthetic autonomy continues to be an issue when we study cultural history, it can no longer be privileged as somehow true."
""I can't believe that people really prefer to go to the concert hall under intellectually trying, socially trying, physically trying conditions, unable to repeat something they have missed, when they can sit at home under the most comfortable and stimulating circumstances and hear it as they want to hear it. I can't imagine what would happen to literature today if one were obliged to congregate in an unpleasant hall and read novels projected on a screen." See: recording Quoted in Classic Essays on Twentieth-Century Music, ."
""Somebody will ask those of us who compose with the aid of computers: 'So you make all these decisions for the computer or the electronic medium but wouldn't you like to have a performer who makes certain other decisions?' Many composers don't mind collaborating with the performer with regards to decisions of tempo, or rhythm, or dynamics, or timbre, but ask them if they would allow the performer to make decisions with regard to pitch and the answer will be 'Pitches you don't change.' Some of us feel the same way in regard to the other musical aspects that are traditionally considered secondary, but which we consider fundamental. As for the future of electronic music, it seems quite obvious to me that its unique resources guarantee its use, because it has shifted the boundaries of music away from the limitations of the acoustical instrument, of the performer's coordinating capabilities, to the almost infinite limitations of the electronic instrument. The new limitations are the human ones of perception." Quoted in Classic Essays on Twentieth-Century Music, ."
""We have all been affected as composers, as teachers, as musicians by recordings to an extent that cannot possibly be calculated as yet or predicted for the future. The music which is being most widely disseminated and most widely discussed, and therefore most widely imitated and influential, is that music which is available on records. The music that is only published is very little known. I don't think one can possibly exaggerate the extent to which the climate of music today is determined by the fact that the total Webern is available on records, that the total Schoenberg is becoming available." Quoted in Classic Essays on Twentieth-Century Music, ."
"Naturally, since I am not concerned with normative allegations, I cannot be concerned here with the invocation of the overtone series as a 'natural' phenomenon, and that application of equivocation which then would label as 'un-natural' (in the sense, it would appear, of morally perverse) music which is not 'founded' on it. Now, what music, in what sense, ever had been founded on it?"
""The issue of 'science' does not intrude itself directly upon the occasion of the performance of a musical work, at least a non-electronically produced work, since—as has been said—there is at least a question as to whether the question as to whether musical composition is to be regarded as a science or not is indeed really a question; but there is no doubt that the question as to whether musical discourse or—more precisely—the theory of music should be subject to the methodological criteria of scientific method and the attendant scientific language is a question, except that the question is really not the normative one of whether it 'should be' or 'must be,' but the factual one that it is, not because of the nature of musical theory, but because of the nature and scope of scientific method and language, whose domain of application is such that if it is not extensible to musical theory, then musical theory is not a theory in any sense in which the term ever has been employed. This should sound neither contentious nor portentous, rather it should be obvious to the point of virtual tautology.”"
"This compositional variety is mediated by a highly redundant set structure, a second-order all-combinatorial set; each set form is hexachordally equivalent to or totally disjunct from fifteen other set forms, so that one-third of all the available set forms belong to a collection of sets which are hexachordally aggregate forming, that is, hexachordally identical."
"His partitioning of the octave in the first ten bars places Varèse with Scriabin and the Schoenberg circle among the revolutionary composers whose work initiates the beginning of a new mainstream tradition in the music of our century."
"Do we really have to look these chords up in Forte's catalog in order to find a name for them? Another theorist [Christopher Hasty] assures us that, 'Allen Forte's perceptive interpretation...accounts for an essential quality of this mysteriously pulsating music. The eighth-note chords of the flute and clarinets form alternately, with the sustaining oboes and horns, the six-tone sonorities labeled A and B. The sonorities A and B are both representatives of the same set class (6-Z19) and are thus made up of precisely the same intervals. As Forte points out, "There is a flucuation of pitch-class content while interval content remains constant."' 'A fluctuation of pitch-class content while interval content remains constant' is what the rest of us have always known as 'a transposition.'"
"The crucial and monumental development in the art music of our century has been the qualitative change in the foundational premises of our musical language--the change from a highly chromaticized tonality whose principle functions and operations are still based on a limited selection, the seven notes of the diatonic scale, from the universal set of twelve pitch classes to a scale that comprehends the total pitch-class content of that universal set. We can point to the moment of that change with some precision. It occurs most obviously in the music of Scriabin and the Vienna circle, Schoenberg, Webern, and Berg, in 1909-1910, and very soon afterwards, though less obviously, in the music of Bartok and Stravinsky. I think it is safe to say that nothing of comparable significance for music has ever occurred, because the closing of the circle of fifths gives us a symmetrical collection of all twelve pitch classes that eliminates the special structural function of the perfect fifth itself, which has been the basis of every real musical system that we have hitherto known."
"By the time of his Fourth String Quartet, inversional symmetry had become as fundamental a premise of Bartók's harmonic language as it is of the twelve-tone music of Schoenberg, Berg, and Webern. Neither he nor they ever realized that this connection establishes a profound affinity between them in spite of the stylistic features that so obviously distinguish his music from theirs...Nowhere does he [Bartók] recognize the communality of his harmonic language with that of the twelve-tone composers that is implied in their shared premise of the harmonic equivalence of inversionally symmetrical pitch-class relations."
"I would not want you to suppose that my rejection of Allen Forte's theory of pitch-class sets implies a rejection of the notion that there can be such a thing as a pitch-class set. It is only when one defines everything in terms of pitch-class sets that the concept becomes meaningless."
"Z-relation, or rather, "that certain pitch-class collections share the same 'interval vector' even though they are neither transpositionally nor inversionally equivalent was first pointed out by Howard Hanson in Harmonic Materials of Modern Music (New York: Appleton-Century-Crofts, 1960), p. 22, and by David Lewin in "Re: The Intervallic Content of a Collection of Notes," Journal of Music Theory 4:1 (1960). For a general criticism of Forte's concepts of pitch-class set equivalence see Perle, "Pitch-Class Set Analysis: An Evaluation," Journal of Musicology 8:2 (1990)."
"This intersecting of inherently non-symmetrical diatonic elements with inherently non-diatonic symmetrical elements seems to me the defining principle of the musical language of Le Sacre and the source of the unparalleled tension and conflicted energy of the work."
"The achievement of such a change of register through a sequential progression is a familiar procedure in the music of the "common practice." The significant distinction is that where Berg subdivides the registral span into equal, i.e., cyclic, intervals, his tonal predecessors subdivide it, in changing register through sequential transference, into the unequal intervals of the diatonic scale. As I pointed out in my last lecture, however, the qualitative transformation in the language of music which we have experienced in our century has a long prehistory. Beginning with Schubert, we occasionally find normal diatonic functions questioned in changes of key that progress along the intervals of the whole-tone scale, or the diminished-7th chord, or the augmented triad. An even more radical example of a cyclic progression in a tonal composition is...from Wagner (Die Walkure, Act III)."
"If...[Alban] Berg departs so radically from tradition, through his substitution of a symmetrical partitioning of the octave for the asymmetrical partitionings of the major/minor system, he departs just as radically from the twelve-tone tradition that is represented in the music of Schoenberg and Webern, for whom the twelve-tone series was always an integral structure that could be transposed only as a unit, and for whom twelve-tone music always implied a constant and equivalent circulation of the totality of pitch classes."
"Collections of all twelve pitch classes can be differentiated from one another only by assigning an order to the pitch classes or by partitioning them into mutually exclusive sub-collections. The ordering principle is the basis of the twelve-tone system formulated by Schoenberg, the partitioning principle the basis of the system formulated around the same time by Hauer. In Schoenberg's compositional practice, however, the concept of a segmental pitch-class content is represented as well, as a basis for the association of paired inversionally related set forms. On the relation between Schoenberg and Hauer see Bryan R. Simms, "Who First Composed Twelve-Tone Music, Schoenberg or Hauer?" Journal of the Arnold Schoenberg Institute X/2 (November 1987)."
"Every bit of theorizing I’ve ever done, including my interest in Berg, has come as a consequence of discoveries I made as a composer and interests that I developed as a composer. I never thought of my theory as being a kind of irrelevant activity to my composing."
"So little time we live in Time, And we learn all so painfully, That we may spare this hour's term To practice for Eternity."
"The poet is in the end probably more afraid of the dogmatist who wants to extract the message from the poem and throw the poem away than he is of the sentimentalist who says, "Oh, just let me enjoy the poem.""
"For fire flames but in the heart of a colder fire. All voice is but echo caught from a sound-less voice. Height is not deprivation of valley, nor defect of desire. But defines, for the fortunate, that joy in which all joys should rejoice."
"The poem... is a little myth of man's capacity of making life meaningful. And in the end, the poem is not a thing we see — it is, rather, a light by which we may see — and what we see is life."
"We are right to see power prestige and confidence as conditioned by the Civil War. But it is a very easy step to regard the War, therefore, as a jolly piece of luck only slightly disguised, part of our divinely instituted success story, and to think, in some shadowy corner of our mind, of the dead at Gettysburg as a small price to pay for the development of a really satisfactory and cheap compact car with decent pick-up and road-holding capability. It is to our credit that we survived the War and tempered our national fiber in the process, but human decency and the future security of our country demand that we look at the costs. What are some of the costs? Blood is the first cost. History is not melodrama, even if it usually reads like that. It was real blood, not tomato catsup or the pale ectoplasm of statistics, that wet the ground at Bloody Angle and darkened the waters of Bloody Pond. It modifies our complacency to look at the blurred and harrowing old photographs — the body of the dead sharpshooter in the Devil's Den at Gettysburg or the tangled mass in the Bloody Lane at Antietam."
"Most writers are trying to find what they think or feel. . . not simply working from the given, but toward the given, saying the unsayable and steadily asking, "What do I really feel about this?""
"The urge to write poetry is like having an itch. When the itch becomes annoying enough, you scratch it."
"But to poetry — You have to be willing to waste time. When you start a poem, stay with it and suffer through it and just think about nothing, not even the poem. Just be there. It's more of a prayerful state than writing the novels is. A lot of the novel is in doing good works, as it were, not praying. And the prayerful state is just being passive with it, mumbling, being around there, lying on the grass, going swimming, you see. Even getting drunk. Get drunk prayerfully, though."
"If anybody's going to be a writer, he's got to be able to say, "This has got to come first, to write has to come first." That is, if you have a job, you have to scant your job a little bit. You can't be an industrious apprentice if you're going to be a poet. You've got to pretend to be an industrious apprentice but really steal time from the boss. Or from your wife, or somebody, you see. The time's got to come from somewhere. And also this passivity, this "waitingness," has to be achieved some way. It can't be treated as a job. It's got to be treated as a non-job or an anti-job."
"Long ago, in Kentucky, I, a boy, stood By a dirt road, in first dark, and heard The great geese hoot northward. I could not see them, there being no moon And the stars sparse. I heard them. I did not know what was happening in my heart."
"If, in the middle of World War II, a general could be writing a poem, then maybe I was not so irrelevant after all. Maybe the general was doing more for victory by writing a poem than he would be by commanding an army. At least, he might be doing less harm. By applying the same logic to my own condition, I decided that I might be relevant in what I called a negative way. I have clung to this concept ever since — negative relevance. In moments of vain-glory I even entertain the possibility that if my concept were more widely accepted, the world might be a better place to live in. There are a lot of people who would make better citizens if they were content to be just negatively relevant."
"More and more Emerson recedes grandly into history, as the future he predicted becomes a past."
"I've been to a lot of places and done a lot of things, but writing was always first. It's a kind of pain I can't do without."
"I know that any discussion of the relation of this poem to its historical materials is, in one perspective, irrelevant to its value; and it could be totally accurate as history and still not worth a dime as a poem. I am trying to write a poem, not a history, and therefore have no compunction about tampering with non-essential facts. But poetry is more than fantasy and is committed to the obligation of trying to say something, however obliquely, about the human condition. Therefore, a poem dealing with history is no more at liberty to violate what the writer takes to be the spirit of his history than it is at liberty to violate what he takes to be the nature of the human heart. What he takes those things to be is, of course, his ultimate gamble."
"Historical sense and poetic sense should not, in the end, be contradictory, for if poetry is the little myth we make, history is the big myth we live, and in our living, constantly remake."
"I longed to know the world's name."
"A young man’s ambition — to get along in the world and make a place for himself — half your life goes that way, till you’re 45 or 50. Then, if you’re lucky, you make terms with life, you get released."
"Storytelling and copulation are the two chief forms of amusement in the South. They’re inexpensive and easy to procure."
"How do poems grow? They grow out of your life."
"What is a poem but a hazardous attempt at self-understanding? It is the deepest part of autobiography."
"Here is the shadow of truth, for only the shadow is true."
"I cannot recall what I started to tell you, but at least I can say how night-long I have lain under the stars and Heard mountains moan in their sleep. By daylight, They remember nothing, and go about their lawful occasions Of not going anywhere except in slow disintegration. At night They remember, however, that there is something they cannot remember. So moan. Theirs is the perfected pain of conscience that Of forgetting the crime, and I hope you have not suffered it. I have."
"Everything seems an echo of something else."
"I don’t expect you’ll hear me writing any poems to the greater glory of Ronald and Nancy Reagan."
"The lack of a sense of history is the damnation of the modern world."
"In separateness only does love learn definition."
"Tell me a story. In this century, and moment, of mania, Tell me a story. Make it a story of great distances, and starlight. The name of the story will be Time, But you must not pronounce its name. Tell me a story of deep delight."
"In silence the heart raves. It utters words Meaningless, that never had A meaning. I was ten, skinny, red-headed, Freckled. In a big black Buick, Driven by a big grown boy, with a necktie, she sat In front of the drugstore, sipping something Through a straw. There is nothing like Beauty. It stops your heart.It Thickens your blood. It stops your breath. It Makes you feel dirty. You need a hot bath. I leaned against a telephone pole, and watched. I thought I would die if she saw me."
"How could I exist in the same world with that brightness? Two years later she smiled at me. She Named my name. I thought I would wake up dead."
"She never came back. The family Sort of drifted off. Nobody wears shiny boots like that now. But I know she is beautiful forever, and lives In a beautiful house, far away. She called my name once. I didn't even know she knew it."
"Accept these images for what they are — Out of the past a fragile element Of substance into accident. I would speak honestly and of a full heart; I would speak surely for the tale is short, And the soul's remorseless catalogue Assumes its quick and piteous sum."
"What glass unwinking gives our trust Its image back, what echo names The names we hurl at namelessness?"
"Such fable ours! However sweet, That earlier hope had, if fulfilled, Been but child's pap and toothless meat — And meaning blunt and deed unwilled, And we but motes that dance in light And in such light gleam like the core Of light, but lightless, are in right Blind dust that fouls the unswept floor For, no: not faith by fable lives, But from the faith the fable springs — It never is the song that gives Tongue life, it is the tongue that sings; And sings the song. Then, let the act Speak, it is the unbetrayable Command, if music, let the fact Make music's motion; us, the fable."
"Then let us turn now — you to me And I to you — and hand to hand Clasp, even though our fable be Of strangers met in a strange land Who pause, perturbed, then speak and know That speech, half lost, can yet amaze Joy at the root; then suddenly grow Silent, and on each other gaze."
"The end of man is knowledge but there's one thing he can't know. He can't know whether knowledge will save him or kill him. He will be killed, all right, but he can't know whether he is killed because of the knowledge which he has got or because of the knowledge which he hasn't got and which if he had it would save him."
"Man is conceived in sin and born in corruption and he passeth from the stink of the didie to the stench of the shroud. There is always something."
"If you could not accept the past and its burden, there was no future, for without one there cannot be the other, and [...] if you could accept the past you might hope for the future, for only out of the past can you make the future."
"I don't think that the Negro problem in America can be even discussed coherently without bearing in mind its context; its context being the history, traditions, customs, the moral assumptions and preoccupations of the country; in short, the general social fabric. Appearances to the contrary, no one in America escapes its effects and everyone in America bears some responsibility for it. I believe this the more firmly because it is the overwhelming tendency to speak of this problem as though it were a thing apart. But in the work of Faulkner, in the general attitude and certain specific passages in Robert Penn Warren, and, most significantly, in the advent of Ralph Ellison, one sees the beginnings-at least-of a more genuinely penetrating search."
"Facts are more mundane than fantasies, but a better basis for conclusions."
"If you ask me, it'd be little short of disastrous for us to discover a source of clean, cheap, abundant energy because of what we would do with it."
"...new nuclear plants are simply unfinanceable in the private capital market, and the technology will continue to die of an incurable attack of market forces—all the faster in competitive markets. This is true not just in the U.S., where the last order was in 1978 and all orders since 1973 were cancelled, but globally."
"There are two kinds of micropower. One is co-gen and combined heat and power. That was about two-thirds of the new capacity and three-quarters of the new electricity last year. The rest was distributed or decentralized renewables, which was a $38 billion U.S. global market last year for selling equipment. That's wind, solar, geothermal, small hydro and biomass.... Micropower surpassed nuclear power in worldwide installed capacity in 2002, and surpassed nuclear in electricity generated per year just in the last few months."
"A widely heralded view holds that nuclear power is experiencing a dramatic worldwide revival and vibrant growth, because it’s competitive, necessary, reliable, secure, and vital for fuel security and climate protection. That’s all false. In fact, nuclear power is continuing its decades-long collapse in the global marketplace because it’s grossly uncompetitive, unneeded, and obsolete—so hopelessly uneconomic that one needn’t debate whether it’s clean and safe; it weakens electric reliability and national security; and it worsens climate change compared with devoting the same money and time to more effective options."
"Variable but forecastable renewables (wind and solar cells) are very reliable when integrated with each other, existing supplies and demand. For example, three German states were more than 30 percent wind-powered in 2007—and more than 100 percent in some months. Mostly renewable power generally needs less backup than utilities already bought to combat big coal and nuclear plants' intermittence."
"When asked if we have enough time to prevent catastrophe, she'd always say that we have exactly enough time -- starting now"
"The markets make a good servant but a bad master, and a worse religion"
"Fire made us human, fossil fuels made us modern, but now we need a new fire that make us safe,healthy, and durable. 2006-5-12"
"The ethos of science involves the functionally necessary demand that theories or generalizations be evaluated in [terms of] their logical consistency and consonance with facts."
"The role of outstanding scientists in influencing younger associates is repeatedly emphasized in the interviews with laureates. Almost invariably they lay great emphasis on the importance of problem-finding, not only problem-solving. They uniformly express the strong conviction that what matters most in their work is a developing sense of taste, of judgment, in acting setting upon problems that are of fundamental importance. And, typically, they report that they acquired this sense for the significant problem during their years of training in evocative environments. Reflecting on his years as a novice in the laboratory of a chemist of the first rank, one laureate reports that he "led me to look for important things, whenever possible, rather than work on endless detail or to work just to improve accuracy rather than making a basic new contribution.""
"The last two decades have witnessed, especially in Germany and France, the rise of a new discipline, the sociology of knowledge (Wissenssoziologie), with a rapidly increasing number of students and a growing literature (even a “selected bibliography” would include several hundred titles). Since most of the investigations in this field have been concerned with the socio-cultural factors influencing the development of beliefs and opinion rather than of positive knowledge, the term. “Wissen” must be interpreted very broadly indeed, as referring to social ideas and thought generally, and not to the physical sciences, except where expressly indicated."
"It is likely that the emphasis upon the metaphysical and epistemological implications of the sociology of knowledge can be traced, in part, to the fact that the first proponents of this discipline stemmed largely from philosophical rather than scientific circles. The burden of further research is to turn from this welter of conflicting opinion to empirical investigations which may establish in adequate detail the uniformities pertaining to the appearance, acceptance and diffusion, or rejection and repression, development and consequences of knowledge and ideas."
"The extreme emphasis upon the accumulation of wealth as a symbol of success in our society militates against the completely effective control of institutionally regulated modes of acquiring a fortune."
"Scientific research is not conducted in a social vacuum."
"No man knows fully what has shaped his own thinking"
"By social structure is meant that organized set of social relationships in which members of the society or group are variously implicated."
"[Merton states that anomie represents] An acute disjunction between the cultural norms and goals and the socially structured capacities of members of the group to act in accord with them."
"The self-fulfilling prophecy is, in the beginning, a false definition of the situation evoking a new behaviour which makes the original false conception come "true". This specious validity of the self-fulfilling prophecy perpetuates a reign of error. For the prophet will cite the actual course of events as proof that he was right from the very beginning."
"So much of what he says is so absolutely obvious, so transparently true, that one can't imagine why no one else has bothered to point it out."
"Bob Merton became the leader of structural-functional analysis in sociology, and the leader of those sociologists who attempted to create social theories that could be empirically tested... He was an inspirational teacher and editor, and with his students, such as James S. Coleman and Seymour Martin Lipset, among many others who would become leading figures in the field, he helped to build and legitimate the field of sociology in America... For me, he was a model teacher and mentor, a trusted colleague, and a close friend. His death, in many ways, puts a period at the end of 20th Century sociology,"
"All we can ever do is lay a word in the hands of those who have put one in ours."
"Science is not about control. It is about cultivating a perpetual sense of wonder in the face of something that forever grows one step richer and subtle than our latest theory about it. It is about reverence, not mastery."
"What he had done, how he had chosen to spend his energies, really was science. A way of looking, reverencing. And the purpose of all science, like living, which amounts to the same thing, was not the accumulations of Gnostic power, fixing of formulas for the names of God, stockpiling brutal efficiency, accomplishing the sadistic myth of progress. the purpose of science was to revive and cultivate a perpetual state of wonder. For nothing deserved wonder so much as our capacity to feel it."
"Although many philosophers used to dismiss the relevance of neuroscience on grounds that what mattered was “the software, not the hardware”, increasingly philosophers have come to recognize that understanding how the brain works is essential to understanding the mind."
"These days, many philosophers give Pat credit for admonishing them that a person who wants to think seriously about the mind-body problem has to pay attention to the brain. But this acknowledgment is not always extended to Pat herself, or to the work she does now. “Although some of Churchland’s views have taken root in mainstream philosophy, she is not part of it,” Ned Block, a philosopher at New York University, wrote in a review of one of her books. “Unfortunately, Churchland . . . approaches many conceptual issues in the sciences of the mind like the more antiphilosophical of scientists.” Although she tried to ignore it, Pat was wounded by this review. But it was true; in some ways she had simply left the field. Although she often talks to scientists, she says she hasn’t got around to giving a paper to a philosophy department in five years. These days, she often feels that the philosophical debate over consciousness is more or less a waste of time."
"Neither Pat nor Paul feels much nostalgia for the old words, or the words that will soon be old. They appreciate language as an extraordinary tool, probably the most extraordinary tool ever developed. But in the grand evolutionary scheme of things, in which humans are just one animal among many, and not always the most successful one, language looks like quite a minor phenomenon, they feel. Animals don’t have language, but they are conscious of their surroundings and, sometimes, of themselves. Pat and Paul emphatically reject the idea that language and thought are, deeply, one: that the language we now use reflects thought’s innate structure; that thought can take only the form in which we humans now know it; that there could be no thought without language. Moreover, the new is the new! It is so exciting to think about revolutions in science leading to revolutions in thought, and even in what seems, to the uninitiated, to be “raw feeling,” that, by comparison, old words and old sentiments seem dull indeed."
"I think I'll stop here."
"I grew up in Cambridge in England, and my love of mathematics dates from those early childhood days."
"I loved doing problems in school. I'd take them home and make up new ones of my own."
"But the best problem I ever found, I found in my local public library. I was just browsing through the section of math books and I found this one book, which was all about one particular problem -- Fermat's Last Theorem."
"Here was a problem, that I, a ten year old, could understand and I knew from that moment that I would never let it go. I had to solve it."
"I realized that anything to do with Fermat's Last Theorem generates too much interest."
"I really believed that I was on the right track, but that did not mean that I would necessarily reach my goal."
"Young children simply aren't interested in Fermat. They just want to hear a story and they're not going to let you do anything else."
"Fermat couldn't possibly have had this proof."
"I don't believe Fermat had a proof. I think he fooled himself into thinking he had a proof."
"But what has made this problem special for amateurs is that there's a tiny possibility that there does exist an elegant 17th-century proof."
"Fermat was my childhood passion."
"I hope that seeing the excitement of solving this problem will make young mathematicians realize that there are lots and lots of other problems in mathematics which are going to be just as challenging in the future."
"But perhaps that's always the way with math problems, and we just have to find new ones to capture our attention."
"Certainly one thing that I've learned is that it is important to pick a problem based on how much you care about it."
"However impenetrable it seems, if you don't try it, then you can never do it."
"Always try the problem that matters most to you."
"I had this rare privilege of being able to pursue in my adult life, what had been my childhood dream."
"I know it's a rare privilege, but if one can really tackle something in adult life that means that much to you, then it's more rewarding than anything I can imagine."
"Perhaps I can best describe my experience of doing mathematics in terms of a journey through a dark unexplored mansion. You enter the first room of the mansion and it's completely dark. You stumble around bumping into the furniture, but gradually you learn where each piece of furniture is. Finally, after six months or so, you find the light switch, you turn it on, and suddenly it's all illuminated. You can see exactly where you were. Then you move into the next room and spend another six months in the dark. So each of these breakthroughs, while sometimes they're momentary, sometimes over a period of a day or two, they are the culmination of—and couldn't exist without—the many months of stumbling around in the dark that proceed them."
"Originally the Kolyvagin-Flach method only worked under particularly constrained circumstances, but Wiles believed he had adapted and strengthened it sufficiently to work for all his needs. According to Katz this was not necessarily the case, and the effects were dramatic and devastating. The error did not necessarily mean that Wiles's work was beyond salvation, but it did mean that he would have to strengthen his proof. The absolutism of mathematics demanded that Wiles demonstrate beyond all doubt that his method worked for every element of every E-series and M-series."
"There is the view that poetry should improve your life. I think people confuse it with the ."
"Did I say that? One says so many things, and the problem is they all get written down."
"It didn’t pay very much, but it enabled me to get other jobs doing art criticism, which I didn’t want to do very much, but as so often when you exhibit reluctance to do something, people think you must be very good at it. If I had set out to be an art critic, I might never have succeeded."
"When I originally started writing, I expected that probably very few people would read my poetry because in those days people didn’t read poetry much anyway."
"Well, there are certain stock words that I have found myself using a great deal. When I become aware of them, it is an alarm signal meaning I am falling back on something that has served in the past—it is a sign of not thinking at the present moment, not that there is anything intrinsically bad about certain words or phrases."
"Somewhere someone is traveling furiously toward you, At incredible speed, traveling day and night, Through blizzards and desert heat, across torrents, through narrow passes. But will he know where to find you, Recognize you when he sees you, Give you the thing he has for you?"
"In the beginning there are those who don't quite fit in But are somehow okay. And then some morning There are places that suddenly seem wonderful: Weather and water seem wonderful, And the peaceful night sky that arrives In time to protect us, like a sword Cutting the blue cloak of a prince."
"These two guys in the front yard— Are they here to help?"
"John Ashbery, incontrovertibly a great poet, remains both difficult and underread, even by his readers."
"He had meticulous taste, if taste is a form of discernment, and discernment a kind of care and humility toward the world, its material stuff as well as its arbitrary weathers. He was drawn to the local and to the minor, the huge field of forgotten or overlooked or insignificant details of daily life, which he was able to transcribe, without relying on either mirrors or windows, but on the capaciousness of his restless, inquisitive, integrating imagination. He seemed to have an infinite resource of words and a flexible, if sometimes dissonant, syntax into which to put them. His poems are always in the service of making new relations, so that meanings arise without the insistent correlate of understanding but, instead, offer to his readers a new way to find sense in an apprehension or awareness of the variety of this world, and the capacity of language to provide ways of perceiving and, somehow, renovating it."
"On James's view, "true" resembles "good" or "rational" in being a normative notion, a compliment paid to sentences that seem to be paying their way and that fit with other sentences which are doing so."
"My principal motive is the belief that we can still make admirable sense of our lives even if we cease to have … "an ambition of transcendence.""
"As long as we try to project from the relative and conditioned to the absolute and unconditioned, we shall keep the pendulum swinging between dogmatism and skepticism. The only way to stop this increasingly tiresome pendulum swing is to change our conception of what philosophy is good for. But that is not something which will be accomplished by a few neat arguments. It will be accomplished, if it ever is, by a long, slow process of cultural change – that is to say, of change in common sense, changes in the intuitions available for being pumped up by philosophical arguments."
"Philosophy makes progress not by becoming more rigorous but by becoming more imaginative."
"Truthfulness under oath is, by now, a matter of our civic religion, our relation to our fellow citizens rather than our relation to a nonhuman power."
"… our maturation has consisted in the gradual realization that, if we can rely on one another, we need not rely on anything else. In religious terms, this is the Feuerbachian thesis that God is just a projection of the best, and sometimes the worst, of humanity. In philosophical terms, it is the thesis that anything that talk of objectivity can do to make our practices intelligible can be done equally well by talk of intersubjectivity."
"Nowadays, to say that we are clever animals is not to say something philosophical and pessimistic but something political and hopeful – namely, if we can work together, we can make ourselves into whatever we are clever and courageous enough to imagine ourselves becoming. This is to set aside Kant’s question “What is man?” and to substitute the question “What sort of world can we prepare for our great grandchildren?”"
"If I had to lay bets, my bet would be that everything is going to go to hell, but, you know, what else have we got except hope?"
"Philosophers get attention only when they appear to be doing something sinister—corrupting the youth, undermining the foundations of civilization, sneering at all we hold dear. The rest of the time everybody assumes that they are hard at work somewhere down in the sub-basement, keeping those foundations in good repair. Nobody much cares what brand of intellectual duct tape is being used."
"Complaints about the social irresponsibility of the intellectual typically concern the intellectual’s tendency to marginalize herself, to move out from one community by interior identification of herself with some other community—for example, another country or historical period. … It is not clear that those who thus marginalize themselves can be criticized for social irresponsibility. One cannot be irresponsible toward a community of which one does not think of oneself as a member. Otherwise runaway slaves and tunnelers under the Berlin Wall would be irresponsible."
"To abjure the notion of the “truly human” is to abjure the attempt to divinize the self as a replacement for a divinized world."
"Kripke tries to sober us up by denying that meaning determines reference. Rather, we name things by confronting them and baptising them, not by creating them out of a list of qualities. Names are not, pace Russell, shorthand for such lists. They are not abbreviations for descriptions, but (in Kripke’s coinage) ‘rigid designators’ – that is, they would name the same things in any possible world, including worlds in which their bearers did not have the properties we, in this world, use to identify them."
"[A]nything can be made to look good or bad by being redescribed."
"I think of the course of human history as a long, swelling, increasingly polyphonic poem - a poem that leads up to nothing save itself. When the species is extinct, "human nature's total message" will not be a set of propositions, but a set of vocabularies - the more, and the more various, the better."
"Almost as soon as I began to study philosophy, I was impressed by the way in which philosophical problems appeared, disappeared, or changed shape, as a result of new assumptions or vocabularies."
"From Richard McKeon and Robert Brumsbaugh I learned to view the history of philosophy as a series, not of alternative solutions to the same problems, but of quite different sets of problems. From Rudolph Carnap and Carl Hempel I learned how pseudo-problems could be revealed as such by restarting them in the formal mode of speech. From Charles Hartshorne and Paul Weiss I learned how they could be so revealed by being translated into Whiteheadian or Hegelian terms."
"Citizens of a Jeffersonian democracy can be as religious or irreligious as they please as long as they are not “fanatical.” That is, they must abandon or modify opinion on matters of ultimate importance, the opinions that may hitherto have given sense and point to their lives, if these opinions entail public actions that cannot be justified to most of their fellow citizens."
"When the individual finds in her conscience beliefs that are relevant to public policy but incapable of the defense on the basis of beliefs common to her fellow citizens, she must sacrifice her conscience on the altar of public expediency."
"Contemporary intellectuals have given up the Enlightenment assumption that religion, myth, and tradition can be opposed to something ahistorical, something common to all human beings qua human."
"Rather, we heirs of Enlightenment think of enemies of liberal democracy like Nietzsche or Loyola as, to use Rawls’s word, “mad.” We do so because there is no way to see them as fellow citizens of our constitutional democracy, people whose life plans might, given ingenuity and good will, be fitted in with those of other citizens. They are crazy because the limits of sanity are set by what we can take seriously. This, in turn, is determined by our upbringing, our historical situation."
"It is no more evident that democratic institutions are to be measured by the sort of person they create than that they are to be measured against divine commands. … Even if the typical character types of liberal democracies are bland, calculating, petty, and unheroic, the prevalence of such people may be a reasonable price to pay for political freedom."
"The encouragement of light-mindedness about traditional philosophical topics serves the same purposes as does the encouragement of light-mindedness about traditional theological topics. Like the rise of large market economies, the increase in literacy, the proliferation of artistic genres, and the insouciant pluralism of contemporary culture, such philosophical superficiality and light-mindedness helps along the disenchantment of the world. It helps make the world’s inhabitants more pragmatic, more tolerant, more liberal, more receptive to the appeal of instrumental rationality."
"About the utility of the argument I have little doubt, convinced as I am that nothing will resist the growing corporatization of the world save for a very broad coalition of anticorporatization folks on the left, all the way from the mealiest-mouthed of liberals to the stark-ravingest of Marxists. But I have grave doubts about whether Rorty’s “two lefts” analysis of the contemporary scene will further the creation of that coalition: unless we can see the politics of redistribution and the politics of recognition as the double helix of leftist thought — and we should think especially here of issues such as immigration, disability, reproduction and motherhood, and criminal justice, where cultural politics and public policy are woven as tightly as any strand of DNA — no amnesty program for the sectarians of the past will suffice to remedy the two-left sectarianism of the present. The value of Achieving Our Country, then, does not lie in its accuracy about the past and present state of the left; it lies, instead, in its willingness to throw down gauntlets for the formation of a future left that can think beyond the impasses with which Achieving Our Country would leave us."
""Language is not an image of reality", assures Mr. Rorty, a pragmatist and anti-Platonic philosopher. Should we interpret this sentence in the sense Mr. Rorty calls 'Platonic', that is, as a denial of an attribute to one substance? It would be contradictory: a language that is not an image of reality cannot give us a real image of its relations with reality. Therefore, the sentence must be interpreted pragmatically: it does not affirm anything about language, but only indicates the intention to use it in a certain way. The main thesis of Mr. Rorty's thought is a declaration of intentions. The sentence "language is not an image of reality" rigorously means this and nothing else: "I, Richard Rorty, am firmly decided to not use language as an image of reality." It is the sort of unanswerable argument: an expression of someone's will cannot be logically refuted. Therefore, there is nothing to debate: keeping the limits of decency and law, Mr. Rorty can use language as he may wish. The problem appears when he begins to try to make us use language exactly like him. He states that language is not a representation of reality, but rather a set of tools invented by man in order to accomplish his desires. But this is a false alternative. A man may well desire to use this tool to represent reality. It seems that Plato desired precisely this. But Mr. Rorty denies that men have other desires than seeking pleasure and avoiding pain. That some declare to desire something else must be very painful to him, for, on the contrary, there would be no pragmatically valid explanation for the effort he puts in changing the conversation. Given the impossibility to deny that these people exist, the pragmatist will perhaps say that those who look for representing reality are moved by the desire to avoid pain as much as those who prefer to create fantasies; but this objection will have shown precisely that these are not things which exclude each other. The Rortyan alternative is false in its own terms."
"I think philosophy is both more important and less important than Rorty does. It is not a pedestal on which we rest (or have rested until Rorty). Yet the illusions that philosophy spins are illusions that belong to die nature of human life itself, and that need to be illuminated. Just saying "That's a pseudo-issue" is not of itself therapeutic; it is an aggressive form of the metaphysical disease itself."
"Galileo claimed to have discovered, by astronomical observation through a telescope, that Copernicus was right that the earth revolved around the sun. [Cardinal] Bellarmine claimed that he could not be right because his view ran counter to the Bible. Rorty says, astoundingly, that Bellarmine's argument was just as good as Galileo's. It is just that the rhetoric of "science" had not at that time been formed as part of the culture of Europe. We have now accepted the rhetoric of "science," he writes, but it is not more objective or rational than Cardinal Bellarmine's explicitly dogmatic Catholic views. According to Rorty, there is no fact of the matter about who was right because there are no absolute facts about what justifies what. Bellarmine and Galileo, in his view, just had different epistemic systems."
"Good science and good art are always about a condition of awe … I don’t think there is any other function for the poet or the scientist in the human tribe but the astonishment of the soul."
"The violence of beast on beast is read As natural law, but upright man Seeks his divinity by inflicting pain."
"I'm just a red nigger who love the sea, I had a sound colonial education, I have Dutch, nigger, and English in me, and either I'm nobody, or I'm a nation."
"I try to forget what happiness was, and when that don't work, I study the stars."
"You will love again the stranger who was your self. Give wine. Give bread. Give back your heart to itself, to the stranger who has loved you all your life, whom you ignored for another, who knows you by heart."
"Peel your own image from the mirror. Sit. Feast on your life."
"Then silence is sawn in half by a dragonfly as eels sign their names along the bottom-sand when the sunrise brightens the river's memory and waves of huge ferns are nodding to the sea's sound. Although the smoke forgets the earth from which is ascends and the nettles guard the holes where the laurels were killed an iguana hears the axes, clouding each lens over its lost name, when the hunched island was called 'Iounalao' 'Where it iguana is from' But, taking its own time, the iguana will scale the rigging of vines in a year, its dewlap fanned, its elbows akimbo, its deliberate tail moving with the island. The slit pods of its eyes ripened in a pause that lasted for centuries, that rose with the Aruacs' smoke till a new race unknown to the lizard stood measuring the trees. These were their pillars that fell, leaving a blue space for a single God where the old gods stood before, The first god was a gommier. The generator began with a whine, and a shark, with sidewise jaw, sent the chips flying like mackrel over water into trembling weeds"
"No masterpieces in huge frames to worship, … and yet there are the days when every street corner rounds itself into a sunlit surprise, a painting or a phrase, canoes drawn up by the market, the harbour’s blue, the barracks. So much to do still, all of it praise."
"Any serious attempt to try to do something worthwhile is ritualistic."
"The English language is nobody's special property. It is the property of the imagination: it is the property of the language itself."
"I come from a place that likes grandeur; it likes large gestures; it is not inhibited by flourish; it is a rhetorical society; it is a society of physical performance; it is a society of style."
"you can't separate your growth from your soil. (1968)"
"I don't read poetry for pleasure. I read to be terrified in a way. And people who terrify me from their size and the grandeur of their imagination now are people like Pasternak and Neruda, a lot of Latin-American poets, Lowell - very few English poets - Ted Hughes a little...very few English poets now in fact (1968)"
"I have always believed in fierce, devoted apprenticeship... I have always tried to keep my mind Gothic in its devotions to the concept of master and apprentice. The old masters made new masters by the discipline of severity. One's own voice is an anthology of all the sounds one has heard. As it is with children, so with poets. (1983)"
"I do not consider English to be the language of my masters. I consider language to be my birthright. I happen to have been born in an English and a Creole place, and love both languages. It is the passion, futility and industry of critics to perpetuate this ambiguity. It is their profession. It is mine to do what other poets before me did, Dante, Chaucer, Villon, Burns, which is to fuse the noble and the common language, the streets and the law courts, in a tone that is true to my own voice, in which both accents are heard naturally. (1983)"
"I never thought I would see the day when America (which is based on the idea of liberty, from which the world Liberal comes) would become so self-centered and hypocritical. I mean if democracy considers liberal to be a term of abuse, then we should be terrified. A liberal is someone who believes in liberty. And if it is wrong to be liberal, then the other side has to be fascist. (1987)"
"People who are offering revenge, they are just an enemy. But when you offer peace and love, that infuriates people. And you get killed for that. That's why Christ is killed, that's why King is shot, that's why Gandhi is killed. The idea of a man believing in the universal brotherhood is totally unendurable to someone who would prefer to have that man talk about revenge. (1990)"
"The Caribbean creativity is phenomenal. It is an astonishing phenomenon. The kind of writing that has been produced in these islands is such elaborate work. It was inevitable historically and culturally. But it is still as astonishing. Now you're talking about writers of equality, of Jean Rhys, Saint-John Perse, Aimé Césaire, V. S. Naipaul. And these people are different colors and different races. (1990)"
"I love the opulent poetry of Tishani Doshi and the more formal work of Derek Walcott and Christian Wiman."
"...a master wordsmith. These words are his, from his poem "The Schooner Flight": I'm just a red nigger who love the sea, I had a sound colonial education, I have Dutch, nigger, and English in me, And either I'm nobody, or I'm a nation... Doesn't that last line just fucking give you chills, coming hard on the heels of what preceded it? Goddamn. Much respect."
"I like the magic that operates in many of Derek's plays, the lushness and the exquisite wordcraft of them, and the fact that he uses Creole and music."
"...no matter how you look at Walcott, Walcott is a major figure; he is a Miltonic figure, a Shakespearean figure, a Chaucer figure. He stands in Caribbean literature like those figures: Chaucer, maybe Spenser, Shakespeare, Milton-those major, major massive figures who have already covered generations of work. And others come along who have their own value, their own work, but these guys have always already done more than anybody else. You look into the past, they've already done the past; you look into the future, they've already done things in the future. So he's a significant poet because he is the major poet, in terms of form and style, concerns, themes, and so on. And I very much look to him for form and so on. In terms of the ideology and the content, as I say, I think there is certainly a difference, as I move more and more into Christian poetry. You couldn't really describe Walcott as a Christian poet - not in that strict sense of the term. Our concerns have been independence, how we deal with the politics of the situation and so on...He has done his work and I think those of us coming after have to do our own work. We can't repeat him. We should not. We should learn from him and move on."
"These seem like bristles, and the hide is tough. No claw or web here: each foot ends in hoof."
"Direct me gods, whose changes are all holy, To where it flickers deep in grass, the moly."
"Thus for each blunt-faced ignorant one The great grey rigid uniform combined Safety with virtue of the sun. Thus concepts linked like chainmail in the mind."
"One joins the movement in a valueless world, Choosing it, till both hurler and the hurled, One moves as well, always toward, toward."
"Distorting hackneyed words in hackneyed songs He turns revolt into a style, prolongs The impulse to a habit of the time."
"My thoughts are crowded with death and it draws so oddly on the sexual that I am confused confused to be attracted by, in effect, my own annihilation."
"My religion makes no sense and does not help me therefore I pursue it."
"She doesn't get to say much in the official biography — I believe they are out of wine, etc., practical things — watching with one eye as he goes about the world calling himself The Son Of Man."
"while the shadows like long fingers over the haystacks that sweep past keep shocking him because he is riding backwards."
"It is very possible that a proper understanding of string theory will make the space-time continuum melt away.... String theory is a miracle through and through."
"Vibrating strings in 10 dimensions is just a weird fact... An explanation of that weird fact would tell you why there are 10 dimensions in the first place."
"I don't think that any physicist would have been clever enough to have invented string theory on purpose... Luckily, it was invented by accident."
"String theory is extremely attractive because gravity is forced upon us. All known consistent string theories include gravity, so while gravity is impossible in quantum field theory as we have known it, it is obligatory in string theory."
"Most people who haven't been trained in physics probably think of what physicists do as a question of incredibly complicated calculations, but that's not really the essence of it. The essence of it is that physics is about concepts, wanting to understand the concepts, the principles by which the world works."
"Quantum mechanics... developed through some rather messy, complicated processes stimulated by experiment. While it's a very rich and wonderful theory, it doesn't quite have the conceptual foundation of general relativity. Our problem in physics is that everything is based on these two different theories and when we put them together we get nonsense."
"In Newton's day the problem was to write something which was correct - he never had the problem of writing nonsense, but by the twentieth century we have a rich conceptual framework with relativity and quantum mechanics and so on. In this framework it's difficult to do things which are even internally coherent, much less correct. Actually, that's fortunate in the sense that it's one of the main tools we have in trying to make progress in physics. Physics has progressed to a domain where experiment is a little difficult... Nevertheless, the fact that we have a rich logical structure which constrains us a lot in terms of what is consistent, is one of the main reasons we are still able to make advances."
"String theory at its finest is, or should be, a new branch of geometry. ...I, myself, believe rather strongly that the proper setting for string theory will prove to be a suitable elaboration of the geometrical ideas upon which Einstein based general relativity."
"I think one has to regard it as a long term process. One has to remember that String theory, if you choose to date it from the Veneziano model, is already eighteen years old... that quantum electrodynamic theory towards which Planck was heading [in 1900], took fifty years to emerge."
"I would expect that a proper elucidation of what string theory really is all about would involve a revolution in our concepts of the basic laws of physics - similar in scope to any that occurred in the past."
"It's been said that string theory is part of the physics of the twenty-first century that fell by chance into the twentieth century. That's a remark that was made by a leading physicist about fifteen years ago. ...String theory was invented essentially by accident in a long series of events, starting with the Veneziano model... No one invented it on purpose, it was invented in a lucky accident. ...By rights, string theory shouldn't have been invented until our knowledge of some of the areas that are prerequisite... had developed to the point that it was possible for us to have the right concept of what it is all about."
"It was clear that if I didn't spend the rest of my life concentrating on string theory, I would simply be missing my life's calling."
"Even though it is, properly speaking, a postprediction, in the sense that the experiment was made before the theory, the fact that gravity is a consequence of string theory, to me, is one of the greatest theoretical insights ever."
"Good wrong ideas are extremely scarce... and good wrong ideas that even remotely rival the majesty of string theory have never been seen."
"Generally speaking, all the really great ideas of physics are really spin-offs of string theory... Some of them were discovered first, but I consider that a mere accident of the development on planet earth. On planet earth, they were discovered in this order [general relativity, quantum field theory, superstrings, and supersymmetry]... But I don't believe, if there are many civilizations in the universe, that those four ideas were discovered in that order in each civilization."
"If supersymmetry plays the role in physics that we suspect it does, then it is very likely to be discovered by the next generation of particle accelerators, either at Fermilab... or at CERN... Discovery of supersymmetry would be one of the real milestones in physics, made even more exciting by its close links to still more ambitious theoretical ideas. Indeed, supersymmetry is one of the basic requirements of "string theory," which is the framework in which theoretical physicists have had some success in unifying gravity with the rest of the elementary particle forces. Discovery of supersymmetry would would certainly give string theory an enormous boost."
"Just around the same time that the string picture was formed, asymptotic freedom was discovered and made possible, in QCD, a more precise and successful theory of the strong interactions. Yet there has always been a striking analogy between QCD and string theory. If the hypothesis of quark confinement in QCD is true in its usual form, than a widely separated quark and antiquark are joined by a “color flux tube.” This has an obvious analogy to the notion of a meson as a string with charges at its ends, as assumed in string theory. Explaining this analogy would mean understanding quark confinement. This would be quite a nice achievement, since it is a longstanding sore point in theoretical physics that despite real experiments and computer simulations supporting the quark confinement hypothesis and despite a lot of ingenious work explaining qualitative criteria for quark confinement and why this notion is natural, there is no convincing, pencil and paper demonstration of quark confinement in QCD."
"Even before string theory, especially as physics developed in the 20th century, it turned out that the equations that really work in describing nature with the most generality and the greatest simplicity are very elegant and subtle."
"It was found [in the 1970s], unexpectedly and without anyone really having a concept for it, that the rules of perturbation theory can be changed in a way that makes relativistic quantum gravity inevitable rather than impossible. The change is made by replacing point particles by strings. Then Feynman graphs are replaced by Riemann surfaces, which are smooth - unlike the graphs, which have singularities at interaction vertices. The Riemann surfaces can degenerate to graphs in many different ways. In field theory, the interactions occur at the vertices of a Feynman graph. By contrast, in string theory, the interaction is encoded globally, in the topology of a Riemann surface, any small piece of which is like any other. This is reminiscent of how non-linearities are encoded globally in twistor theory."
"Replacing particles by strings is a naive-sounding step, from which many other things follow. In fact, replacing Feynman graphs by Riemann surfaces has numerous consequences: 1. It eliminates the infinities from the theory. ...2. It greatly reduces the number of possible theories. ...3. It gives the first hint that string theory will change our notions of spacetime. Just as in QCD, so also in gravity, many of the interesting questions cannot be answered in perturbation theory. In string theory, to understand the nature of the Big Bang, or the quantum fate of a black hole, or the nature of the vacuum state that determines the properties of the elementary particles, requires information beyond perturbation theory... Perturbation theory is not everything. It is just the way the [string] theory was discovered."
"We know a lot of things, but what we don't know is a lot more."
"... one thing that's worth mentioning, though, it that apart from the dream of understanding physics at a deeper level involving gravity, work in string theory has been useful in shedding lights on more conventional problems in quantum field theory and even in and as well with applications to mathematics. Apart from its intrinsic interest, those successes are one of the things that tend to give us confidence that we're on the right track. Because, speaking personally, I find it implausible that a completely wrong new physics theory would give rise to useful insights about so many different areas."
"The past decade has seen a remarkable renaissance in the interaction between mathematics and physics. This has been mainly due to the increasingly sophisticated mathematical models employed by elementary particle physicists, and the consequent need to use the appropriate mathematical machinery. In particular, because of the strongly non-linear nature of the theories involved, topological ideas and methods have played a prominent part. ... In all this large and exciting field, which involves many of the leading physicists and mathematicians in the world, Edward Witten stands out clearly as the most influential and dominating figure. Although he is clearly a physicist (as his list of publications clearly shows) his command of mathematics is rivalled by few mathematicians, and his ability to interpret physical ideas in mathematical form is quite unique. Time and again he has suprised the mathematical community by a brilliant application of physical insight leading to new and deep mathematical ideas."
"For example, Ed Witten recently derived a formula for Donaldson invariants on Kähler manifolds using a twisted version of supersymmetric Yang-Mills theory in four dimensions. His argument depends on the existence of a mass gap, cluster decomposition, spontaneous symmetry breaking, asymptotic freedom, and gluino condensation."
"In the spring of 1985 Ed Witten, one of the most brilliant of young physicists at Princeton University, announced that he would give a talk. ...it was clear that this talk would be an extraordinary occasion. ...our seminar room was packed with people, some old and famous, some young, all eager with expectations. Witten spoke very fast for an hour and a half without stopping. It was a dazzling display of virtuosity. It was also, as Witten remarked quietly at the end, a new theory of the universe. ...When Witten came to the end... The listeners sat silent. ...There were no questions. Not one of us was brave enough to stand up and reveal the depths of our ignorance. ...I describe this scene because it gives a picture of what it means to explore the universe at the highest level of abstraction. Ed Witten is taking a big chance. He has moved so far into abstraction that few even of his friends know what he is talking about. ...He did not invent superstrings. ...Ed Witten's role is to build superstrings into a mathematical structure which reflects to an impressive extent the observed structure of particles and fields in the universe. After they heard him speak, many members of his audience went back to their desks and did the homework they should have done before, reading his papers and learning his language. The next time he talks, we shall understand him better. Next time, we shall perhaps be brave enough to ask questions."
"Witten's excitement arose from the fact that the theory passed several crucial tests which other theories had failed. To have found a theory of the universe which is not mathematically self-contradictory is already a considerable achievement."
"Our Witten, which art in Princeton, Hallowed be thy name. Thy Nobel come, Thy will be done, In CERN as it is in the US. Give us this day our daily string, And forgive us our theory, As we forgive those who do phenomenology. Lead us not into experiment, And deliver us from tests. For thine is the arXiv, Hep-th and math-AG, For ever and ever, Amen"
"Enter superstring theory. The concept that particles are really tiny strings dates from the 1960s, but it took on wings in 1974, when John Schwarz... and Joel Scherk... came to terms with what had been an ugly blemish in their calculations. String theory kept predicting the existence of a particle with zero mass and a spin of two. Schwarz and Scherk realized that this unwelcome particle was nothing other than the graviton, the quantum carrier of gravitational force (Although there is no quantum theory of gravity yet, it is possible to specify some of the characteristics of the quantum particle thought to convey it.) This was liberating: The calculations were saying not only that string theory might be the way to a fully unified account of all particles and forces but that one could not write a string theory without incorporating gravity. Ed Witten... recalled that this new constituted "the greatest intellectual thrill of my life.""
"In the high carrels of theoretical physics, where intelligence is taken for granted, Witten is regarded as preternaturally, almost forbiddingly, smart. ...he wears the habitual small smile of the theoretician for whom sustained mathematical thinking has something like the emotional qualities that mystics associate with meditation. He speaks in a soft, high-pitched voice, floating short, precise sentences punctuated by witty little silences—the speech pattern of a man who has learned that he thinks too fast to otherwise be understood. Though he is the son of a theoretical physicist, he came to science in a roundabout fashion."
"The Theory of Everything, if you dare be bold, Might be something more than a string orbifold. While some of your leaders have got old and sclerotic, Not to be trusted alone with things heterotic, Please heed our advice that you are not smitten— The Book is not finished, the last word is not Witten."
"A crucial observation, central to the second superstring revolution initiated by Witten and others in 1995, is that string theory actually includes ingredients with a variety of different dimensions: two-dimensional Frisbee-like constituents, three-dimensional blob-like constituents, and even more exotic possibilities to boot."
"In the mid-1990s, Witten, based on his own insights and previous work by Michael Duff... and Chris Hull and Paul Townsend... gave convincing evidence that... String theory... to most string theorists' amazement, actually requires ten space dimensions and one time dimension, for a total of eleven dimensions."
"Edward Witten is fond of declaring that string theory had already made a dramatic and experimentally confirmed prediction: "String theory had the remarkable property of predicting gravity." What Witten means by this is that both Newton and Einstein developed theories of gravity because their observations of the world clearly showed them that gravity exists, and that, therefore, it required an accurate and consistent explanation. On the contrary, a physicist studying string theory—even if he or she was completely unaware of general relativity—would be inexorably led to it by the string framework."
"Work by Strominger and Witten showed that the masses of the particles in each family depend upon... the way in which the boundaries of the various multidimensional holes in the Calabi-Yau shape intersect and overlap with one another. ...as strings vibrate through the extra curled-up dimensions, the precise arrangement of the various holes and the way in which the Calabi-Yau shape folds around them has a direct impact on the possible resonant patterns of vibration. ...as with the number of families, string theory can provide us with a framework for answering questions—such as why the electron and other particles have the masses they do—on which previous theories are completely silent. ...carrying through with such calculations requires that we know which Calabi-Yau space to take for the extra dimensions."
"In the mid-1980s Philip Candelas, Gary Horowitz, Andrew Strominger, and Edward Witten... discovered that each hole—the term used in a precisely defined mathematical sense—contained within the Calabi-Yau shape gives rise to a family of lowest-energy string vibrational patterns. ...among these preferred Calabi-Yau shapes are ones that also yield just the right number of messenger particles as well as just the right electric charges and nuclear force properties to match the particles [listed in the book] ..."
"In the spring of 1995... Drawing on the work of a number of string theorists (including Chris Hull, Paul Townsend, Ashoke Sen, Michael Duff, John Schwarz and many others), Edward Witten—who for decades has been the world's most renowned string theorist—uncovered a hidden unity that tied all five string theories together. Witten showed that rather than being distinct, the five theories are actually just five different ways of mathematically analyzing a single theory. ...The unifying master theory has tentatively been called M-theory."
"Much as Kaluza found that a universe with five spacetime dimensions provided a framework for unifying electromagnetism and gravity, and much as string theorists found that a universe with ten spacetime dimensions provided a framework for unifying quantum mechanics and general relativity, Witten found that a universe with eleven spacetime dimensions provided a framework for unifying all string theories."
"Between sessions at a physics conference, I asked a number of attendees: Who is the smartest physicist of them all? ...the name mentioned most often was Witten's. He seemed to evoke a special kind of awe, as though he belonged to a category unto himself. He is often likened to Einstein; one colleague reached even further back for a comparison, suggesting that Witten possessed the greatest mathematical mind since Newton."
"Edward Witten... dominates the world of theoretical physics. Witten is currently the "leader of the pack," the most brilliant high-energy physicist, who sets trends in the physics community the way Picasso would set trends in the art world. Hundreds of physicists follow his work religiously to get a glimmer of his path-breaking ideas."
"The boundaries of physics have been changing. Now scientists ask not only how the world works (a question the Standard Model answers) but why it works that way (a question the Standard Model cannot answer). Einstein asked "why" earlier in the century, but only in the past decade or so have the "why" questions become normal scientific research in particle physics, rather than philosophical afterthoughts. One ambitious approach to "why" is known as string theory, which is formulated in an eleven-dimensional world. Work on string theory has proceeded so far by study of the theory itself, rather than via the historical fruitful interplay of experiment and theory. As Edward Witten remarks... string theory predicts that nature should be supersymmetric. Supersymmetry is a surprising and subtle idea—the idea that the equations representing basic laws of nature don't change if certain particles in the equations are interchanged with one another."
"He never does calculations except in his mind. I will fill pages with calculations before I understand what I'm doing. But Edward will sit down only to calculate a minus sign, or a factor of two."
"The positive energy theorem was for half a century or more an open challenge to relativists. Many attempts were made to prove flat spacetime was stable, but none completely succeeded completely until a majestic tour de force of geometric reasoning of Shoen and Yau. This was followed two years later by a proof of Witten, which was as elegant as it was short. It is this proof of Witten’s that we take as a template... for the quantum theory."
"We shouldn't toss comparisons to Einstein around too frequently, but when it comes to Witten... He's head and shoulder above the rest. He's started whole groups of people on new paths. He produces elegant, breathtaking proofs which people gasp at, which leave them in awe."
"My stay was nearly over when one day Ed Witten said to me, "I just learnt a new way to find exact S-matrices in two dimensions invented by Zamolodchikov and I want to extend the ideas to supersymmetric models. You are the S-matrix expert, aren't you? Why don't we work together?" I was delighted. All my years of training in Berkeley gave me a tremendous advantage over Ed—for an entire week."
"The MacArthur Foundation chose Witten in 1982 for one of its earliest “genius” grants, and he is probably the only person that virtually everyone in the theoretical physics community would agree deserves the genius label. He has received a wide array of honors, including the most prestigious award in mathematics, the Fields Medal, in 1990. The strange situation of the most talented person in theoretical physics having received the mathematics equivalent of a Nobel Prize, but no actual Nobel Prize in physics, indicates both how unusual a figure Witten is, and also how unusual the relationship between mathematics and physics has become in recent years. When I was a graduate student at Princeton, one day I was leaving the library perhaps thirty feet or so behind Witten. The library was underneath a large plaza separating the mathematics and physics buildings, and he went up the stairs to the plaza ahead of me, disappearing from view. When I reached the plaza he was nowhere to be seen, and it is quite a bit more than thirty feet to the nearest building entrance. While presumably he was just moving a lot faster than I was, it crossed my mind at the time that a consistent explanation for everything was that Witten was an extraterrestrial being from a superior race who, since he thought no one was watching, had teleported back to his office. More seriously, Witten’s accomplishments are very much a product of the combination of a huge talent and a lot of hard work. His papers are uniformly models of clarity and of deep thinking about a problem, of a sort that very few people can match. Anyone who has taken the time to try to understand even a fraction of his work finds it a humbling experience to see just how much he has been able to achieve. He is also a refreshing change from some of the earlier generations of famous particle theorists, who could be very entertaining, but at the same time were often rather insecure and not known always to treat others well."
"After Einstein’s dramatic success with general relativity in 1915, he devoted most of the rest of his career to a fruitless attempt to unify electromagnetism and gravity using the sorts of geometric techniques that had worked in the case of general relativity. We now can see that this research program was seriously misguided, because Einstein was ignoring the lessons of quantum mechanics. To understand electromagnetism fully one must deal with quantum field theory and QED in one way or another, and Einstein steadfastly refused to do this, continuing to believe that a theory of classical fields could somehow be made to do everything. Einstein chose to ignore quantum mechanics despite its great successes, hoping that it could somehow be made to go away. If Witten had been in Einstein’s place, I doubt that he would have made this mistake, since he is someone who has always remained very involved in whatever lines of research are popular in the rest of the theoretical community. On the other hand, this example does show that genius is no protection against making the mistake of devoting decades of one’s life to an idea that has no chance of success."
"Science knows no boundaries, and efforts to create barriers – whether to keep new ideas within or to prevent new ones from entering from the outside – have universally proved harmful to progress."
"The achievement of happiness requires not the ... satisfaction of our needs ... but the examination and transformation of those needs."
"I know how to give the meaning of a word but not how to give the intention of a word."
"The crucified human body is our best picture of the unacknowledged human soul."
"We decided to listen to our patients."
"You won’t find solutions to rural India’s health issues in modern facilities that are far removed. Effective strategies will emerge only when you work with the people."
"Nobody can predict the future, but there is nobody in my generation who wants to be on the board of a symphony orchestra or an opera company and raise the kind of money that's needed. I think that the energy that in the 19th century went into opera is, in the 20th century, going into films. Films have that same over-the-top, overwhelming, high impact--all of the senses knocked out--and vast popular following, with stars who are larger than life. Well, that's what opera did in the 19th century."
"I think of the classical world as a cancer patient or an AIDS patient. You know you have a limited life span. The question you now might want to ask is what would be the most important things to do now with your remaining years. I would like to think that that type of prioritizing could happen with museums, symphony orchestras, opera companies. Things really are urgent right now, and what we're doing somehow has to matter, has to make a contribution."
"We’ve set two goals: ending extreme poverty by 2030 and boosting shared prosperity. How are we going to get there? Generally speaking, it divides into three main categories. One is economic growth. If you look at the greatest achievements in lifting people out of poverty, China, almost through brute economic growth, lifted 600 million people out of poverty. The second big block is investment in human beings. In other words, making sure that the poorest people have some kind of income or sustenance to be able to consume and, potentially, participate in economic growth. And a third category is social protection."
"In 1990, East Asia, South Asia, and Africa all had the same percentage of people living in extreme poverty: 55 percent. Now, East Asia is at ten percent, and South Asia has gone down to 30 percent. In Africa, it’s still 55 percent. Why did we succeed in East Asia, and why are we falling behind in Africa? This year, we’re going to be lending over $60 billion. That seems like a lot of money, but every year, sub-Saharan Africa requires about $100 billion in new investment in infrastructure."
"In the private sector, companies have experts running all over the place figuring out the details of how to solve particular problems, and then they share them with the rest of the organization. But in global health, global education, or global development, that’s been really difficult to do."
"We think it’s extremely important to have lots of feedback and input from civil society organizations. Something broad like, Does democracy lead to growth? -- these are very difficult questions to answer. It’s almost academic."
"China and India played a much larger role than they did before in providing these funds for the poorest countries."
"I have very clear ideas about what it’s going to take to end extreme poverty and to share prosperity. In fact, this is what I’ve been doing my whole life. I feel like I’m here for a reason."
"We’re interested in the peace but we understand that peace, justice and development go hand in hand. And I think we sent that message very strongly."
"We’re thinking about other ways we can bring the organizations together. It was always intended that the UN, a political organization focused on justice and development, would work together with the financial organizations in order to make the world a better place."
"We are trying to end poverty in the world by 2030 and we’re going to focus especially on the well-being of the bottom 40 per cent of every country."
"If we can unlock the full potential of the World Bank Group staff, I think we can have an even more transformational impact in country after country in the world."
"So the fact that I had worked in more than a dozen countries and have been working for 25 years trying to implement health, education and social protection programmes, I think really helped me inside the World Bank Group and helped me to feel a sense of closeness to our frontline staff. But it’s a complicated organization… I’m still learning… and the ethnography will continue until I’m done with my work at the World Bank Group."
"In Bentham's vision, the poor should be treated like criminals, forced to labor in prison for the private profit of capitalist entrepreneurs. Such a totalitarian idea might seem remote from purportedly enlightened twenty-first-century practices in liberal democracies. Yet both the criminalization of poverty, and the subjection of the criminalized poor to unpaid labor for corporate profit, exist in the United States today."
"Incarceration in prison or a local jail sets poor people up for exploitation in a forced labor system. New Deal laws once prohibited the use of prison labor except for state institutions. Businesses won the right to use prison labor in 1979. They won an exception from minimum wage laws for prison workers in 1995. This led to the employment of hundreds of thousands of inmates of federal and state prisons for mere pennies per hour. Many are forced to work in unsafe conditions without protective equipment, because workplace health and safety laws do not apply to prison workers."
"We are used to rhetoric that casts “government” as a threat to our liberties. By making it clear that the workplace is a form of government (that the state is not the only government that rules us), we can make clear how the authority that employers have over workers threatens their dignity and autonomy. By naming that government as “private” — that is, as kept private from the workers, as something employers claim is none of the workers’ business — we can make more vivid the fact that workers are laboring under arbitrary, unaccountable dictatorships."
"If free market prices don't give people what they morally deserve, should we try to regulate factor prices so that they do track producers' moral deserts? Hayek offered two compelling arguments against this proposal. First, if you fix prices on a backward-looking standard, they will no longer be able to perform their informational function. Producers will produce for what was demanded last quarter, even if it isn't demanded today. This creates enormous waste and generates huge opportunity costs. We'd be much poorer in an economy that worked like this. […] Hayek was right. It might sound like a compelling idea, to make sure that people receive the income they morally deserve. But orienting the economy around this goal, assuming it is achievable at all (and there are principled doubts about that), would doom us to poverty and serfdom. It would abolish capitalism, along with its chief virtues. It isn't worth the draconian costs."
"Several implications follow from Hayek's insights into the nature of capitalism.(a) The claim "I deserve my pretax income" is not generally true. Nor should the basic organization of property rules be based on considerations of moral desert. Hence, claims about desert have no standing in deciding whether taxation for the purpose of funding social insurance is just. (b) The claim that people rocked by the viccisitudes of the market, or poor people generally, are getting what they deserve is also not generally true. To moralize people's misfortunes in this way is both ignorant and mean. Capitalism continuously and randomly pulls the rug out from under even the most prudent and diligent people. It is in principle impossible for even the most prudent to forsee all the market turns that could undo them. (If it were possible, then efficient socialist planning would be possible, too. But it isn't.) (c) Capitalist markets are highly dynamic and volatile. This means that at any one time, lots of people are going under. Often, the consequences of this would be catastrophic, absent concerted intervention to avert the outcomes generated by markets. For example, the economist Amartya Sen has documented that sudden shifts in people's incomes (which are often due to market volatility), and not absolute food shortages, are a principal cause of famine. (d) The volatility of capitalist markets creates a profound and urgent need for insurance, over and above the insurance needs people would have under more stable (but stagnant) economic systems. This need is increased also by the fact that capitalism inspires a love of personal independence, and hence brings about the smaller ("nuclear") family forms that alone are compatible with it. We no longer belong to vast tribes and clans. This sharply reduces the ability of individuals under capitalism to pool risks within families, and limits the claims they can effectively make on nonhousehold (extended) family members for assistance. To avoid or at least ameliorate disaster and disruption, people need to pool the risks of capitalism."
"In this study the term "abolitionist" will be applied to those Americans who before the Civil War had agitated for immediate, unconditional, and universal abolition of slavery in the United States. Contemporaries of the antislavery movement and later historians have sometimes mistakenly used the word "abolitionist" to describe adherents of the whole spectrum of antislavery sentiment. Members of the Free Soil and Republican parties have often been called abolitionists, even though these parties were pledged officially before 1861 only to the limitation of slavery, not to its extirpation. It is a moot question whether such radical anti-slavery leaders such as Charles Sumner, John Andrew, George Julian, Thaddeus Stevens, or Owen Lovejoy were genuine "abolitionists". In their hearts they probably desired an immediate end to slavery as fervently as did William Lloyd Garrison. But they were committed publicly by political affiliation and party responsibility to a set of principles that fell short of genuine abolitionism."
"The Alabama Democratic convention [instructed] its delegates to walk out of the national convention if the party refused to adopt a platform pledging a federal slave code for the territories. Other lower-South Democratic organizations followed suit. In February, Jefferson Davis presented the substance of southern demands to the Senate in resolutions affirming that neither Congress nor a territorial legislature could impair the constitutional right of any citizen of the United States to take his slave property into the common territories."
"What were these rights and liberties for which Confederates contended? The right to own slaves; the liberty to take this property into the territories."
"To a good many southerners the events of 1861–1865 have been known as 'The War of Northern Aggression'. Never mind that the South took the initiative by seceding in defiance of an election of a president by a constitutional majority. Never mind that the Confederacy started the war by firing on the American flag. These were seen as preemptive acts of defense against northern aggression."
"Slavery was at the root of what the Civil War was all about. If there had been no slavery, there would have been no war, and that ultimately what the Confederacy was fighting for was to preserve a nation based on a social system that incorporated slavery. Had that not been the case, there would have been no war. That's an issue that a lot of Southern whites today find hard to accept."
"Powerful racial prejudices? That was not true of Thomas Wentworth Higginson, or Norwood P. Hallowell, or George T. Garrison, or many other abolitionists and sons of abolitionists who became officers in black regiments. Indeed, the contrary was true. They had spent much of their lives fighting the race prejudice endemic in American society, sometimes at the risk of their careers and even their lives. That is why they jumped at the chance of help launch an experiment with black soldiers which they hoped would help African Americans."
"Rioters were mostly Irish Catholic immigrants and their children. They mainly attacked the members of New York's small black population. For a year, Democratic leaders had been telling their Irish-American constituents that the wicked Black Republicans were waging the war to free the slaves who would come north and take away the jobs of Irish workers. The use of black stevedores as scabs in a recent strike by Irish dockworkers made this charge seem plausible. The prospect of being drafted to fight to free the slaves made the Irish even more receptive to demogogic rhetoric."
"There are all kinds of myths that a people has about itself, some positive, some negative, some healthy and some not healthy. I think that one job of the historian is to try to cut through some of those myths and get closer to some kind of reality. So that people can face their current situation realistically, rather than mythically. I guess that's my sense of what a historian ought to do."
"What has changed is that I've gained a lot more sympathy for Lincoln. At the time I was doing my dissertation I tended to take the Wendell Phillips view of Lincoln. Why didn't he move more quickly? Why was he so conservative on some of these issues? Why didn't he seize this revolutionary moment? The more I've learned about it, the more I realize that Lincoln was under extraordinary pressure from all sides. In his position he could not have acted like Wendell Phillips. He would have lost the whole war."
"The great crisis facing the country was the rebellion and anybody in the North who wanted to preserve the Union now found the principal enemy to be those Southern slave owners who had broken up the country. The institution which sustained them and the institution they went to war to defend was slavery. And more and more northerners became convinced of that. As a consequence, a lot of them went the whole way over, from being conservative, pro-Southern, pro-slavery Democrats to becoming radical Republicans. Benjamin Butler is a good example, and Edwin M. Stanton is another one."
"General Sherman, who had lived in the South, liked Southerners and did not at all sympathize with Northern racial views, yet became the most hated and feared destroyer of the South and its whole civilization. And I think he did so because he saw that as necessary to win the war. And I think Lincoln made some of his decisions—issuing the Emancipation Proclamation, for example, or turning Sherman loose — because he saw that as necessary to win the war."
"The risk of making a decision that's wrong is so enormous that sometimes it just crushes people so that they can't make any decision at all because they're afraid of making the wrong decision. And that's exactly what McClellan's problem was."
"People are going to dislike you if you make a decision, even if it turns out to be the right one."
"Lincoln. His commitment to preserving the United States was so strong and so deep that he was willing to do whatever it took to succeed. Would you like to be in his shoes? Just think about that for a moment. Not just Lincoln. There are hundreds of examples in history."
"These soldiers were using the word slavery in the same way that Americans in 1776 had used it to describe their subordination to Britain. Unlike many slaveholders in the age of Thomas Jefferson, Confederate soldiers from slaveholding families expressed no feelings of embarrassment or inconsistency in fighting for their own liberty while holding other people in slavery. Indeed, white supremacy and the right of property in slaves were at the core of the ideology for which Confederate soldiers fought."
"It would be wrong, however, to assume that Confederate soldiers were constantly preoccupied with this matter. In fact, only 20 percent of the sample of 429 Southern soldiers explicitly voiced proslavery convictions in their letters or diaries. As one might expect, a much higher percentage of soldiers from slaveholding families than from nonslaveholding families expressed such a purpose: 33 percent, compared with 12 percent. Ironically, the proportion of Union soldiers who wrote about the slavery question was greater, as the next chapter will show. There is a ready explanation for this apparent paradox. Emancipation was a salient issue for Union soldiers because it was controversial. Slavery was less salient for most Confederate soldiers because it was not controversial. They took slavery for granted as one of the Southern 'rights' and institutions for which they fought, and did not feel compelled to discuss it. Although only 20 percent of the soldiers avowed explicit proslavery purposes in their letters and diaries, none at all dissented from that view. But even those who owned slaves and fought consciously to defend the institution preferred to discourse upon liberty, rights, and the horrors of subjugation."
"The bottom line in the Civil War, after all is said and done, showed that every Confederate state was a slave state and every free state was a Union state. These facts were not a coincidence, and every Civil War soldier knew it."
"Interpretations of the past are subject to change in response to new evidence, new questions asked of the evidence, new perspectives gained by the passage of time."
"The unending quest of historians for understanding the past — that is, 'revisionism' — is what makes history vital and meaningful."
"Defeat would blot the Confederate States of America from the face of the earth. Confederate victory would destroy the United States and create a precedent for further balkanization of the territory once governed under the Constitution of 1789."
"By the time of the Gettysburg Address, in November 1863, the North was fighting for a 'new birth of freedom' to transform the Constitution written by the founding fathers, under which the United States had become the world's largest slaveholding country, into a charter of emancipation for a republic where, as the northern version of 'The Battle Cry of Freedom' put it, 'Not a man shall be a slave'."
"While one or more of these interpretations remain popular among the Sons of Confederate Veterans and other Southern heritage groups, few professional historians now subscribe to them. Of all these interpretations, the states' rights argument is perhaps the weakest. It fails to ask the question, states' rights for what purpose? States' rights, or sovereignty, was always more a means than an end, an instrument to achieve a certain goal more than a principle."
"Southern political leaders were threatening to take their states out of the Union if a Republican president was elected on a platform restricting slavery."
"Lincoln was the only president in American history whose administration was bounded by war."
"If Lincoln had been a failure, he would have lived a longer life."
"Scorned and ridiculed by many critics during his presidency, Lincoln became a martyr and almost a saint after his death. His words and deeds lived after him, and will be revered as long as there is a United States. Indeed, it seems quite likely that without his determined leadership the United States would have ceased to be."
"More than any other American, Lincoln's name has gone into history. He gave all Americans, indeed all people everywhere, reason to remember that he had lived."
"James M. McPherson has helped millions of Americans better understand the meaning and legacy of the American Civil War. By establishing the highest standards for scholarship and public education about the Civil War and by providing leadership in the movement to protect the nation's battlefields, he has made an exceptional contribution to historical awareness in America."
"In the winter of 2008, Jenifer and I visited Chennai Mathematical Institute. This remarkable Institute is the creation of Seshadri. It is a unique blend of an American style liberal arts college with traditional Indian guru one-on-one teaching, adding physics, computer science, history and music to its maths curriculum. Only in India could an intellectual with no business or management experience, who spends all his spare time singing classical south Indian music, have been the catalyst for such a unique educational experiment."
"On a more personal note, I see many similarities between India's Dalit problems and the African-American problems that have rocked the US since its beginnings. For this reason, I personally take Dr. Ambedkar as one of my heroes."
"There is only one other survey, Datta and Singh’s 1938 History of Hindu Mathematics, recently reprinted but very hard to obtain in the West (I found a copy in a small specialized bookstore in Chennai). They describe in some detail the Indian work in arithmetic and algebra and, supplemented by the equally hard to find Geometry in Ancient and Medieval India by Sarasvati Amma (1979), one can get an overview of most topics."
"John Tate and I were asked by Nature magazine to write an obituary for Alexander Grothendieck. Now he is a hero of mine, the person that I met most deserving of the adjective "genius". I got to know him when he visited Harvard and John, Shurik (as he was known) and I ran a seminar on "s". His devotion to math, his disdain for formality and convention, his openness and what John and others call his naiveté struck a chord with me."
"I am accustomed, as a professional mathematician, to living in a sort of vacuum, surrounded by people who declare with an odd sort of pride that they are mathematically illiterate."
"I want my children to understand the world, but not just because the world is fascinating and the human mind is curious. I want them to understand it so that they will be positioned to make it a better place."
"The biggest mistake of past centuries in teaching has been to treat all children as if they were variants of the same individual, and thus to feel justified in teaching them the same subjects in the same ways."
"If you are not prepared to resign or be fired for what you believe in, then you are not a worker, let alone a professional. You are a slave."
"Both science and history are moving targets. Scholars in the twenty-first century are much more aware than those of earlier generations that scientists operate under the influence of powerful metaphors (science as exploration, discovery, documentation, thrust and counterthrust), and that both the scope and the tools of history undergo continual changes. Still, most scientists and most historians would concur that the broad strokes I've sketched, when viewed from sufficient distance, are accurately rendered—that is, that science and history are each in pursuit of statements that represent the truths ascertained by their respective disciplines"
"Stories are the single most powerful weapon in a leader's arsenal."
"Anything that is worth teaching can be presented in many different ways. These multiple ways can make use of our multiple intelligences."
"There is very little dispute about the principal constituent elements of music, though experts will differ on the precise definitions of each aspect. Most central are 'pitch' (or melody) and 'rhythm'... next in importance only to pitch and rhythm is 'timbre', the characteristic qualities of tone."
"An a priori decision to eliminate spiritual intelligence from consideration is no more justifiable than a decision to admit it by fiat or on faith. After all, once one includes the understanding of the personal realm within a study of intelligence, such human proclivities as the spiritual must legitimately be considered. There certainly are no easy grounds for a decision, but several other intelligences deal with phenomena other than sheer physical matter. If the abstract realm of mathematics constitutes a reasonable area of intelligence (and few would challenge that judgment), why not the abstract realm of the spiritual?"
"Gardner (1999) notes three distinct senses of spiritual intelligence: (1) Spiritual as concerns with cosmic or existential issues; (2) Spiritual as achievement of a state of being; (3) Spiritual as effect on others. Gardner goes on to make an argument that spiritual intelligence would be best served by being called existential intelligence."
"The search for original cases and the "superior" rules that would emerge from them spread far outside legal practice. Wallace Donham, dean of the Harvard Business School from 1919 to 1942, was trained at the law school in the heady days of the case system's early and enthusiastic reception. Where law and business parted ways was in the contingent matter of the availability of ready- made cases — law faculty simply reached for their shelves, while professors of business needed to create a new literary species — the business case book."
"To Donham, the case study stood squarely in the legal and cultural tradition of Anglo-American thought. Unlike French or Spanish law. Donham emphasized, English law was grounded on the doctrine of stare decisis, in which the written case decisions of the past shape, and instantiate, the law. Just as the recording of cases allowed English common law to break the arbitrariness of local law. Donham argued in 1925, business needed to universalize its procedures by itself adopting the case system. The chaos of local law that ruled in England before the common law. Donham contended, "is exactly the same situation that we have [in the world of business] where practically every large corporation is tightly hound by traditions which are precedents in its particular narrow field and narrow held only The recording of decisions from industry to industry [enables] us to start from facts and draw inferences from those facts; [it] will introduce principle... in the field of business to such an extent that it will control executive action in the field where executive action is haphazard or unprincipled or bound by narrow, instead of broad precedent and decision" ( W. Donham, transcript of talk to the Association of Coll. School of Business Committee Reports and Other Literature, 5-7 May 1925. Harvard Business School, box 17, folder 10. 62)."
"I have a line in the last book about how to draw an invisible man, and it says, “I’m trying to be transparent.” I don’t actually want to be invisible, which is the dilemma of people of color, but I would like to be transparent, so people can see what my issues are, good and bad. I just try to be transparent and very present, and then see what happens."
"…All my flaws and quirks and neuroses, they fit just as well as the scarring that comes from racism or masculinity, and I don’t want to have to cut that off. People confuse privacy and secrecy way too much. I’m not saying it’s confessional, but it gives more texture to your work if you can figure out how not to close off those rooms."
"…here’s the thing about all the titles. It’s so great to not have to think about that. The title is a gesture to categorize it, reduce it, and frame it. In the sonnets I can carry an idea and know that I have to turn that idea…"
"…I think that poets can do anything. With a novel, we all know about plot and character and yes, there’s experimental and people can recognize that, but I think that there are rules. I don’t think of poetry that way…"
"I too, having lost faith in language, have placed my faith in language."
"Supergravity theories generically contain non-compact global symmetry groups. The general rule is that the scalar fields of the theory in question parametrize a symmetric space. Thus, if the non-compact symmetry group is G, and its maximal compact subgroup is H, the scalar fields map the space-time into the symmetric space G/H, and the number of scalar fields is dim G – dim H. The first supergravity example of this type to be found, N = 4 supergravity is one of the most interesting. In this case there are two scalar fields and the symmetric space is SL(2,R)/SO(2)."
"The second superstring revolution (1994-??) has brought non-perturbative string physics within reach. The key discoveries were the recognition of amazing and surprising "dualities." They have taught us that what we viewed previously as five theories is in fact five different perturbative expansions of a single underlying theory about five different points! It is now clear that there is a unique theory, though it may allow many different vacua. ... Three different kinds of dualities, called S, T, and U have been identified.""
"As I once told a newspaper reporter, in order to be sure to be quoted: discovery of supersymmetry would be more profound than life on Mars."
"String theory is an ambitious approach to the construction of a mathematical description of the physics that governs the properties of elementary particls and their interactions as well as the structure of space and time. It incorporates (and maybe even explains) well-established principles such as quantum mechanics and relativity. In fact, many string theorists (myself included) believe that string theory constitutes the third big physics revolution of the century, following relativity and quantum mechanics. It certainly requires conceptual advances every bit as bizarre and unexpected as was the case in the prior two revolutions."
"In the early 1960s there existed a successful quantum theory of the electromagnetic force (QED), which was completed in the late 1940s, but the theories of the weak and strong nuclear forces were not yet known. In UC Berkeley, where I was a graduate student during the period 1962 – 66, the emphasis was on developing a theory of the strong nuclear force. I felt that UC Berkeley was the center of the Universe for high energy theory at the time. Geoffrey Chew (my thesis advisor) and Stanley Mandelstam were highly influential leaders. Also, Steve Weinberg and Shelly Glashow were impressive younger faculty members. David Gross was a contemporaneous Chew student with whom I shared an office."
"Among the problems of the known string theories, as a theory of hadrons, was the fact that the spectrum of open strings contains massless spin 1 particles, and the spectrum of closed strings contains a massless spin 2 particle (as well as other massless particles), but there are no massless hadrons. In 1974, Joël Scherk and I decided to take string theory seriously as it stood, rather than forcing it to conform to our preconceptions. ... Specifically, Scherk and Schwarz (1974) proposed trying to interpret string theory as a unified quantum theory of all forces including gravity. Neveu and Scherk (1972) had shown that string theory incorporates the correct gauge invariances to ensure agreement at low energies (compared to the scale given by the string tension) with Yang-Mills theory. Yoneya (1973,1974) and Scherk and Schwarz (1974) showed that it also contains gauge invariances that ensure agreement at low energies with general relativity."
"One of the facts of nature is that there is what's called parity violation, which means that the fundamental laws are not invariant under mirror reflection. For example, a neutrino always spins clockwise and not counterclockwise, so it would look wrong viewed in a mirror. When you try to write down a fundamental theory with parity violation, mathematical inconsistencies often arise when you take account of quantum effects. This is referred to as the anomaly problem. It appeared that one couldn't make a theory based on strings without encountering these anomalies, which, if that were the case, would mean strings couldn't give a realistic theory. Green and I discovered that these anomalies cancel one another in very special situations. When we released our results in 1984, the field exploded. That's when Edward Witten [a theoretical physicist at the Institute for Advanced Study in Princeton], probably the most influential theoretical physicist in the world, got interested. Witten and three collaborators wrote a paper early in 1985 making a particular proposal for what to do with the six extra dimensions, the ones other than the four for space and time. That proposal looked, at the time, as if it could give a theory that is quite realistic. These developments, together with the discovery of another version of superstring theory, constituted the first superstring revolution."
"While spectacularly successful at predicting the behavior of atoms and subatomic particles, the quantum laws looked askance at Einstein's formulation of gravity. This set the stage for more than a half-century of despair as physicists valiantly struggled, but repeatedly failed, to meld general relativity and quantum mechanics, the laws of the large and small, into a single all-encompassing description. Such was the case until December 1984, when John Schwarz, of the California Institute of Technology, and Michael Green, then at Queen Mary College, published a once-in-a-generation paper showing that string theory could overcome the mathematical antagonism between general relativity and quantum mechanics, clearing a path that seemed destined to reach the unified theory."
"Moral injury is present when"
"What does leadership malpractice add to the elements visible in betrayal of what's right by the self in a high-stakes situation? Primarily, it destroys the capacity for social trust in the mental and social worlds of the service member or veteran. I regard this as a kind of wound contamination in the mind, preventing healing and leaking toxins. When the capacity for trust is destroyed, its place is filled by the active expectancy of harm, exploitation, or humiliation."
"Heteroecy appears to be a consequence of the seasonal polymorphism of aphids, which causes some morphs (the fundatrices) to be more evolutionarily constrained than others (the summer females) in their abilities to acquire hosts. Some aphid lineages have escaped this constraint by replacing the ancestral fundatrix morph and remaining all year on former secondary hosts, thus becoming secondarily autoecious. Most of the large and species-rich groups of Aphidinae on herbaceous angiosperms probably are derived from ancestors showing such life-cycle reduction."
"Biogeographical and paleobotanical evidence suggests that the aphid subtribe Melaphidina has been associated with its sumac host plant since the early Eocene when these plants were continuously distributed across the Bering land bridge. Transfer experiments indicate that the American species, Melaphis rhois, shows an unusual complex life cycle, similar to that known in Chinese melaphidines, with some generations feeding on mosses as alternate host plants. As with the association with sumac, this complex life cycle may have been established in the melaphidine lineage before the southward retreat of sumac from Alaska 48 million years ago. This example suggests that the interactions and life histories shown by modern populations may be determined, in large part, by evolutionary commitments made in the distant past."
"The aphid Pemphigus betae typically shows a complex life cycle, with annual alternation between cottonwood trees, where it forms leaf galls, and herbaceous plants, where it lives on roots. Distinct phenotypes are associated with each phase. In a population in Utah, aphid clones vary in their tendencies to undergo the cottonwood phase of the life cycle, with certain clones rarely producing the winged migrants that initiate the cottonwood phase."
"Life cycles that incorporate discrete, morphologically distnct phases predominate among animals."
"Among the many early revelations from molecular phylogenetic studies of bacteria (Woese, 1987) was the recognition that the mycoplasmas represented an evolutionarily derived condition rather than a primitive one, as once believed. Now that phylogenetic relationships and genome sizes are determined for a broader array of organisms, it is clear that the mycoplasmas are just one example of genome shrinkage that has occurred in a variety of obligately host-associated bacteria. Other prominent examples are Rickettsia and related pathogens within the α-proteobacteria; insect symbionts within the γ-proteobacteria, as exemplified by Buchnera aphidicola in aphids; the chlamydiae; and the parasitic spirochetes, such as Borrelia burgdorferi (the agent of Lyme disease)."
"Symbioses are central in the evolution of complexity; have evolved many times and are critical to the lifestyles of many animals and plants and also to whole ecosystems, in which symbiotic organisms are key players. The primary reason that symbiosis research is suddenly active, after decades at the margins of mainstream biology, is that DNA technology and genomics give us enormous new ability to discover symbiont diversity, and more significantly, to reveal how microbial metabolic capabilities contribute to the functioning of hosts and biological communities."
"Buchnera only have 600 genes, compared to about 4,000 or 5,000 for E. coli ... This is a recurring pattern in the genomes of both bacterial symbionts and pathogens, but why do they get so small? ... while part of the reduction is due to adaptation, a lot of it just reflects genetic drift ... It's just a consequence of long-term evolution in a restricted environment with small population sizes."
"The genomes of long-term obligate symbionts often undergo irreversible gene loss and deterioration even as hosts evolve dependence on them. In some cases, animal genomes may have acquired genes from symbionts, mirroring the gene uptake from mitochondrial and plastid genomes. Multiple symbionts often coexist in the same host, resulting in coadaptation among several phylogenetically distant genomes."
"The guts of honey bee workers contain a distinctive community of bacterial species. They are microaerophilic or anaerobic, and were not clearly deliniated by earlier studies relying on laboratory culture of isolates under atmospheric oxygen levels. Recently, a more complete picture of the potential metabolism and functions of these bacteria have been possible, using genomic approaches based on metagenomic samples, as well as cultured isolates. Of these, most are host-restricted and are generally absent outside adult guts."
"The resulting explosion sent several large steel disks toward the Humvee at such high velocity that by the time they reached Cajimat's door, they had been reshaped into unstoppable, semi-molten slugs. At most, the IED cost $100 to make, and against it the $150,000 Humvee might as well have been constructed of lace."
"For now, Kauzlarich though that giving soccer balls to Iraqi children who would run up to his Humvee screaming, "Mister, mister," was having a positive effect. A child would take home a soccer ball; his parents would ask where it came from; he would say, "The Americans"; the parents would be delighted; their confidence would increase; they would be more willing to make the difficult decisions of reconciliation; Baghdad would become secure; democracy in Iraq would thrive; the war would be won. Eventually, Kauzlarich would give up on soccer balls."
"Four of the Soldiers scrambled out a door and got out of the trench relatively dry, but the gunner was trapped inside. "He was yelling," Staff Sergeant Arthur Enriquez would remember afterward, and if there was any hesitation about what to do next, it was only because, "I didn't want to jump in the poo water." And then? "I jumped into the damn poo water""
"Most of the Soldiers he got weren't that way. A lot of them were great, some were brilliant, and almost all were unquestionably courageous: Sergeant Gietz, who was being nominated for a bronze star medal with Valor for what he had done in June. Adam Schumann, who had carried Sergeant Emory on his back. The list went on and on. Every company. Every platoon. Every soldier, really, because now, in July, as the explosions kept coming, and coming, the daily act of them jumping into Humvees to go out the wire and straight into what they knew was waiting for them began to seem the very definition of bravery."
"It sounds weird, and I don't like telling people this, but the reason I joined the army is because I've always looked up to Soldiers."
""The only hope you have is to get her to an American hospital?" Cummings asked, repeating what Izzy had just said. Izzy started to answer. The cell phone went dead. "Izzy?" Cummings said. "Izzy?" How did moments of decency occur in this war? "Izzy," Cummings said. "Bring your daughter here." That was how."
"What do the rules say? At the moment, anyway, no one seemed concerned one way or another: not the doctors, not the family, and not Cummings, who stood at the same spot he'd stood at as he watched Crow die, watching once again. […] The glass had been part of an apartment that no longer existed, in a section of Baghdad where the sounds that night were the sounds of mourning. But here on the FOB, the sounds were of a mother whose home was ruined kissing her daughter's face, and a father whose home was ruined kissing his daughter's hand, and a little girl whose home was ruined saying something in Arabic that caused her family to smile, and Cummings saying quietly in English, "Man, I haven't felt this good since I got to this hellhole.""
"Gravity is not an option in string theory. It is a logical consequence of it!"
"Most string theorists are very arrogant ... If there is something [beyond string theory], we will call it string theory."
"The quantum dualities, which are known as S-duality or U-duality, extend the classical T-duality and lead to a beautiful and coherent picture of stringy dualities. These exchange highly quantum situations with semiclassical backgrounds, exchange different branes, etc. As in the classical dualities, among all dual descriptions there is at most one description which is natural because it is semiclassical. All other dual descriptions are very quantum mechanical."
"Supersymmetry arises naturally in string theory. (It was originally motivated by string theory.)"
"Ultimately, we hope to find a fundamental theory that explains everything with no input parameters."
"Whenever you work on something and try to solve one problem, and you end up helping or solving many other problems, it is a sign that what you are doing is good."
"When I’m writing, I can see myself in all of the characters I write."
"“I’m tired of lip service…There’s a lot of: ‘We really want to do this’, and then I realise they just don’t listen. They say they want your voice, but when you use your voice, they don’t want to do anything you say."
"It shocked me and concerned me how quickly we criminalize and don’t give second chances to young men of color, and particularly young African American men…"
"I had been reading Michelle Alexander’s book The New Jim Crow, which talks about mass incarceration and mass incarceration being the new Jim Crow. But I really believe education is also the new Jim Crow right now because there is so much segregation in education, and there’s an excessive system of have and have-nots. So I was first and foremost interested in exploring the school-to-prison pipeline because of how personally it affected some people in my life."
"We go in and try to be completely transparent with them: I am not a journalist, I’m a playwright, and I’m developing a piece that is creative and not going to be solely based on their lives but inspired by conversations that we have."
"The thing is, I can’t control that built-in bias because it’s going to exist. What I can do is reflect the world through my very unique prism and perhaps people will be able to relate. I can’t control how it’s received, nor do I want to control how it’s perceived. What I want is for people to go into the theatre and in some way their perception is shifted, so that if they do enter with their biases, perhaps they won’t leave with them."
"My motto when I was writing this was ‘replace judgment with curiosity’."
"It’s much easier to conjure characters strictly from your imagination than to have to think about whether you’re representing people in a truthful way. These characters are purely fiction—they’re inspired by people I met—which I think gave me a certain amount of leeway that I wouldn’t have had otherwise were it a verbatim piece."
"I follow in this tradition because I believe literature matters, and in this book I insist that Asian American literature literally embodies the contradictions, conflicts, and potential future options of Asian American culture"
"Fiction and nonfiction accomplish very different things, but they can overlap. I wanted my fiction to seem nonfictional, and my nonfiction to seem fictional. At the same time, in fiction I could say things I couldn’t get away with in nonfiction without footnotes. And in nonfiction, I could make things explicit that I couldn’t say in fiction because of the viewpoint of my protagonist."
"Implicitly, the novel insists that a true war story has to take into account not just combat and soldiers, but civilians, the home front, and the military-industrial complex. For me, war is more than guns and shooting. That’s the spectacle that distracts us from how pervasive war is throughout a society and how it makes all of us complicit through things like paying taxes and watching horrifying images on TV without doing anything to stop them from happening…"
"It's taken me a long time to understand how deeply traumatic that was, that that experience remains an invisible brand stamped between my shoulder blades. And in many ways, I've been - I spent a lifetime trying to make sense of what that trauma has meant to me."
"As writers, of course we’re interested in human beings, human stories, human trauma, and all that is very compelling for readers. But when we write these powerful stories about individual people, we have the illusion that we’ve made a difference. And of course we have—people read the books, they’re touched emotionally by these kinds of stories, and that’s great. But to the extent that the stories that we’re telling are about people who are weaker, in some way—they come from a small country, or a forcibly removed population, they’re underrepresented collectively—individual stories don’t change the conditions that produce those refugees in the first place…"
"In his book Nothing Ever Dies: Vietnam and the Memory of War, Viet Thanh Nguyen writes that immigrant communities like San Jose or Little Saigon in Orange County are examples of purposeful forgetting through the promise of capitalism: "The more wealth minorities amass, the more property they buy, the more clout they accumulate, and the more visible they become, the more other Americans will positively recognize and remember them. Belonging would substitute for longing; membership would make up for disremembering." One literal example of this lies in the very existence of San Francisco's Chinatown. (p 196)"
"What we need to think about perhaps for Mission Blue is increasing the biologging capacity. How is it that we can actually take this type of activity elsewhere? And then finally -- to basically get the message home -- maybe use live links from animals such as blue whales and white sharks. Make killer apps, if you will. A lot of people are excited when sharks actually went under the Golden Gate Bridge. Let's connect the public to this activity right on their iPhone. That way we do away with a few internet myths. So we can save the bluefin tuna. We can save the white shark. We have the science and technology. Hope is here. Yes we can. We need just to apply this capacity further in the oceans."
"We need to make decisions that make us less consumptive and reduce our reliance on nitrogen. It's like a carbon footprint. But you can reduce your nitrogen footprint. I do it by not eating much meat -- I still like a little every now and then -- not using corn oil, driving a car that I can put nonethanol gas in and get better gas mileage. Just things like that that can make a difference. So I'm challenging, not just you, but I challenge a lot of people, especially in the Midwest -- think about how you're treating your land and how you can make a difference. So my steps are very small steps. To change the type of agriculture in the US is going to be many big steps. And it's going to take political and social will for that to happen. But we can do it. I strongly believe we can translate the science, bridge it to policy and make a difference in our environment. We all want a clean environment."
"In this paper, we shall show the validity of an iterative procedure suggested by George W. Brown ... This method corresponds to each player choosing in turn the best pure strategy against the accumulated mixed strategy of his opponent up to then."
"We say a mathematical theory is decidable if there is an effective method of determining the validity of each statement of the theory. If there is no such method, the theory is undecidable. It is clear that if there is a mechanical way of transforming each statement of an undecidable theory into an equivalent statement of another theory, the second theory is also undecidable. This principle, together with the fact that the arithmetic of natural numbers is undecidable, enables us to solve the decision problem for fields of finite degree over the rationals."
"And I continued to struggle with the Tenth Problem. In 1961 Martin Davis, Hilary Putnam, and I published a joint paper, "The undecidability of exponential diophantine equations," which used ideas from the papers Martin and I had presented at the International Congress along with various new results. The paper contains what is sometimes referred to as the Robinson hypothesis (or, as Martin calls it, "J.R.") to the effect that if there were some diophantine relation that grew faster than an exponential but not too terribly fast—less than some function could be expressed in exponentials—then we would be able to define exponentiation. It would follow from the definition that exponential diophantine equations would be equivalent to diophantine equations and that, therefore, the solution to Hilbert's tenth problem would be negative. At the time many people told Martin that this approach was misguided, to say the least. They were more polite to me."
"Notices: Can you tell me your memories of Julia Robinson, what she was like as a person? Davis: Very nice, very straightforward. Broad in her interests, mathematical and otherwise. And great power—there is no question in my mind that she was a much more powerful mathematician than I. We worked together on a problem on which we didn’t get anywhere. We were trying to prove the unsolvability of the decision problem for word equations. It turned out that we wouldn’t have been able to do that because the problem is solvable. Makanin solved it positively."
"In Julia Robinson we find a mathematician who was a heroine in her own time and a role model for all time. It is a story of childhood, illness, love, marriage, disappointment, obsession, and triumph."
"The wavelet transform is a tool that cuts up data or functions or operators into different frequency components, and then studies each component with a resolution matched to its scale. Forerunners of this technique were invented independently in pure mathematics (Calderón's resolution of the identity in harmonic analysis—see e.g., Calderón (1964), physics (coherent states for the (ax + b)-group in quantum mechanics, first constructed by Aslaksen and Klauder (1968), and linked to the hydrogen atom Hamiltonian by Paul (1985)) and engineering (QMF filters by Esteban and Galland (1977), and later QMF filters with exact reconstruction property by Smith and Barnwell (1986), Vetterli (1986) in electrical engineering; wavelets were proposed for the analysis of seismic data by J. Morlet (1983)). The last five years have seen a synthesis between all these different approaches, which has been very fertile for all the fields concerned."
"... In their mathematical aspect, wavelets are rooted in the use of dilations and convolutions in Calderón-Zygmund theory in harmonic analysis. ... Algorithmically, wavelets are related to subband filtering in electrical engineering. Subband filtering was developed from the 70-s on; exact reconstruction procedures were discovered in the early 80-s. These were obviously fast algorithms, meant as a front-end processing step before encoding or compressing information in various types of signals. A lot of effort went into optimizing the filters for various applications, and this subfield of electrical engineering is now quite mature. ... Another algorithmic ancestor of wavelets are the multiple algorithms in numerical analysis, closer to mathematics, but still ad hoc."
"Mathematicians have various ways of judging the merits of new theorems and constructions. One very important criterion is esthetic — some developments just “feel” right, fitting, and beautiful. Just as in other venues where beauty or esthetics are discussed, taste plays an important role in this, but I think I am not alone in being especially excited when apparently different fields suddenly meet in a new concept, a new understanding. It is often of the sparks of such encounters that our esthetic enjoyment of mathematics is born. Another important criterion for according merit to some particular piece of mathematics is the extent to which it can be useful in applications; this is the criterion almost exclusively used by nonmathematicians."
"The development of wavelets is an example where ideas from many different fields combined to merge into a whole that is more than the sum of its parts. The subject area of wavelets, developed mostly over the last 15 years, is connected to older ideas in many other fields, including pure and applied mathematics, physics, computer science, and engineering."
"We present three recent developments in wavelets and subdivision: wavelet-type transforms that map integers to integers, with an application to lossless coding for images; rate-distortion bounds that realize the compression given by nonlinear approximation theorems for a model where wavelet compression outperforms the Karhunen-Loeve approach; and smoothness results for irregularly spaced subdivision schemes, related to wavelet compression for irregularly spaced data."
"People predict by making up stories. People predict very little and explain everything. People live under uncertainty whether they like it or not. People believe they can tell the future if they work hard enough. People accept any explanation as long as it fits the facts. The handwriting was on the wall. It was just the ink that was invisible. People often work hard to obtain information they already have and avoid new knowledge. Man is a deterministic device thrown into a probabilistic Universe. In this match, surprises are expected. Everything that has already happened must have been inevitable. A part of good science is to see what everyone else can see but think what no one else has ever said. The difference between being very smart and very foolish is often very small. So many problems occur when people fail to be obedient when they are supposed to be obedient, and fail to be creative when they are supposed to be creative The secret to doing good research is always to be a little underemployed. You waste years by not being able to waste hours. It is sometimes easier to make the world a better place than to prove you have made the world a better place."
"It is sometimes easier to make the world a better place than to prove you have made the world a better place."
"Let us take what the terrain gives."
"“It's frightening to think that you might not know something, but more frightening to think that, by and large, the world is run by people who have faith that they know exactly what is going on."
"He who sees the past as surprise-free is bound to have a future full of surprises."
"Creeping determinism."
"Happy species endowed with infinite appreciation of pleasures and low sensitivity to pain would probably not survive the evolutionary battle."
"People who make a difference do not die alone. Something dies in everyone who was affected by them. Amos made a great deal of difference, and when he died, life was dimmed and diminished for many of us. There is less intelligence in the world. There is less wit. There are many questions that will never be answered with the same inimitable combination of depth and clarity. There are standards that will not be defended with the same mix of principle and good sense. Life has become poorer. There is a large Amos-shaped gap in the mosaic, and it will not be filled. It cannot be filled because Amos shaped his own place in the world, he shaped his life, and even his dying. And in shaping his life and his world, he changed the world and the life of many around him."
"We've only had multiracial democracy in this country for fewer than 60 years, meaning we've only had democracy in the US for fewer than 60 years. In places where Black people outnumbered white, we had violent minority rule. If you don't understand this, what are you reporting? We can keep pretending that economic anxiety is leading millions of Americans to be willing to subvert democracy but that is a willful blindness and an abdication of our duty to report the truth. We can keep pretending that our institutions will hold, but that defies history. Fears about eroding democracy are not abstract for the millions of Americans who will lose rights and suffer under a white Christian nationalist regime that does not believe a multiracial citizenry should be sharing power of governing."
"When politicians decided protests shouldn't happen, Black people shouldn't vote, Black children shouldn't integrate schools, they called on law enforcement to enforce their desires, even when courts had ordered compliance with these rights."
"Of course many police officers have nothing to do with white nationalist groups, but there's never been a time where significant numbers did NOT engage with and share sympathies with white supremacists. The history of American policing begins in some places w the slave patrols."
"So, what we saw yesterday, again, is both shocking and utterly within the realm of what we know this country to be. The way law enforcement responds to Black protestors compared to white insurrectionist the most predictable aspect of all of this."
"According to head of Chicago police union, assaulting police like this was fine because these folks were frustrated."
"People on the right have been very afraid of a narrative that doesn't deify our founding, that actually forces us to confront it, because that leads to change. When people know better oftentimes they do better. We are seeing that now."
"This has been a fundamental problem with news institutions, now and in the past. They attempt to cover racism and inequality without understanding it themselves."
"Do those concerns about cancel culture and McCarthyism and censorship only apply to the left or do they apply to the POTUS threatening to investigate schools for teaching American journalism? Silence is deafening here."
"I have dedicated my life’s work to excavating the modern legacy of transatlantic slavery"
"We gather here to mark the global trade that took some 15 million beloved human beings across the Atlantic in the hulls of barbaric ships, the largest forced migration in the history of the world, one that would reshape the entire Atlantic world and transform the global economy. We must never forget the scale and the depth of the horrors that people of African descent suffered in the name of profit, profit that enriched the European colonial powers and built the nascent economy of the United States. We must never forget how the systems of slavery collapsed, only to be reborn in other models of violent and racist economic exploitation, such as what we benignly call Jim Crow in the United States, but what is more aptly called apartheid."
"just as important to remembering the legacy of the transatlantic slavery are the stories of Black resistance that would, more than any other force, lead to slavery’s collapse in our hemisphere."
"As we remember our brutal enslavement by people who believed themselves to be civilized, even as they tortured, abused and murdered other human beings for profit, for sugar for their tea, for molasses for their rum, for cotton to wear and for tobacco to smoke, we must remember most the fierce Black radical tradition of resistance, that did not begin with anti-colonialism efforts on the continent or with civil rights movements in the United States and other places, but with, as the scholar Cedric Robinson argued, the Cimarrones of Mexico, who ran away to Indigenous communities or formed their own fugitive communities known as palenques..."
"We must remember that it was not merely the Enlightenment ideas, some reckoning amongst white abolitionists, that brought the end to the system that had enriched colonial powers, but that abolition was propelled by constant revolt that forced colonial powers to realize, as scholar Mary Reckford wrote, it would remain “more expensive and dangerous to maintain the old system than to abolish it.” Black people were actors in their own freedom. Obscuring and marginalizing stories of Black resistance serves to justify the hypocrisy of colonial Europe and the United States by insinuating that had slavery been so bad, surely, African peoples would have fought harder against it. These are lies of omission that in the absence of truth warp our collective memory."
"the defining story of the African diaspora in the Americas is not slavery, but our resistance to it, of people determined to be free in societies that did not believe they had a right to freedom."
"we, the people of the African diaspora, should not have to find ourselves still resisting. It is long past time for the European colonial powers, for the United States of America to live up to their own professed ideas, to become the great and moral nations that they believe themselves to be. It is not enough to simply regret what was done in the past; they are obligated to repair it."
"It is time for them to make reparations to the descendants of chattel slavery in the Americas. This is our global truth, the truth we as human beings understand with stark clarity: There can be no atonement if there’s no repair. It is time — it is long past time — for reparations for the transatlantic slave trade and all the devastation that it has wrought, and all the devastation that it continues to reap."
"the entire premise of The 1619 Project is that the legacy of slavery was not banished along with the institution of slavery in 1865, that slavery is one of the oldest institutions in our society. The English settled Jamestown in 1607. And by 1619, just 12 years later, they’re engaging in African slavery. So, that is 150 years before they even decide that they want to become their own country. And that slavery shaped everything, nearly everything, about the country that would ultimately be established."
"slavery has influenced our society in so many ways, but we’ve really invisibilized that. We’ve lost that connection and understanding. And what I argue for the project is the narrative of 1776 does not explain the insurrection on the Capitol in January. It doesn’t explain George Floyd and why a white police officer could feel that he could kill a man in front of witnesses and would not have to worry about facing any consequences. And it certainly doesn’t explain why we have a political party right now that is trying to instate minority rule. That is the legacy of 1619."
"If a patriotism has to be based on propaganda that really diminishes and tries to erase from memory the difficult parts of our past, it doesn’t seem like that is a genuine patriotism."
"When Texas seceded in 1836, it seceded in order to form a slaveholding republic. If you don’t teach that, then children are not able to understand all of the inequality that they have today."
"I have long said and claimed Ida B. Wells-Barnett as my spiritual godmother. She was honestly the first example of a Black woman doing the type of journalism that I wanted to do, which should tell you how undiverse or nondiverse the field of investigative reporting is, that I didn’t actually know living examples of Black women investigative reporters when I was young. So, she was a pioneering investigative journalist who really brought the scourge of lynching to a global audience. She would go into towns where a Black man or woman had just been lynched, and she would interview people, and she would document. And she was actually one of the early data reporters, because she started to collect data on how many lynchings were occurring, what were the reasons given for those lynchings, and then what did her reporting show. She also was a true intersectional woman. She was a suffragist and had to fight both for women’s rights to vote and against the racism within the suffragist movement. She was a civil rights activist. She was a co-founder of the National Association for the Advancement of Colored People, where she had to fight against gender discrimination as a Black woman. And so, in so many ways, she was just this pioneering woman who fought for civil rights and equal rights across many fronts. And she was a woman who was largely reviled by white media. And I have in my Twitter bio that I’m a nasty — a slanderous and nasty-minded mulattress, because that’s what The New York Times, where I work, called Ida B. Wells while she was engaging in her anti-lynching crusade. So I take great strength from knowing that the attacks on me and the attacks on my work are really just part of a lineage of what happens when Black women and Black women journalists dare to challenge power and challenge authority. So, to receive the acknowledgment for this work about the Black experience on the same day that Ida B. Wells-Barnett, who like so many Black journalists never received the acknowledgment that they deserved, was just deeply gratifying, because I do my work in service of them."
"I think that we are ill-prepared for the moment that we’re in. I think too many political reporters just have too much faith in our political systems, and there is no evidence to back up that faith. So, I just hope that before it’s too late, enough of us get an understanding that we can’t cover what’s happening in our country right now as politics as usual, and you can’t dismiss all of these scholars of authoritarianism who are raising the alarm. We’ve got to do better. We know that reporting, the press, is the firewall of our democracy, and I don’t think the firewall is holding right now."
"The idea that random white citizens have the authority to stop and question a Black person, and if that Black person does not comply, they can use lethal force, that is a legacy of the slave patrols, which deputized all white Americans with the ability to question and stop and detain Black people and make sure that they were not in white spaces where they weren’t supposed to be."
"I think we have to decide if we are going to grapple honestly with our country or not."
"While history is what happened, it is also, just as important, how we think about what happened and what we unearth and choose to remember about what happened"
"White Americans desire to be free of a past they do not want to remember, while Black Americans remain bound to a past they can never forget."
"Reparations amount to a societal obligation in a nation where our Constitution sanctioned slavery, Congress passed laws protecting it, and our federal government initiated, condoned, and practiced legal racial segregation and discrimination against Black Americans until half a century ago. And so it is the federal government that would pay [reparations]."
"If we are truly a great nation, the truth cannot destroy us."
"The racism we are fighting today was originally conjured to justify working unfree Black people, often until death, to generate extravagant riches for ... all the ancillary white people ... who earned their living and built their wealth from that free Black labor."
"The hundred-year period of racial apartheid and racial terrorism known as Jim Crow."
"To this day, the only Americans who have ever received government restitution for slavery were white enslavers in Washington, D.C., whom the federal government compensated after the Civil War for their loss of human property."
"We cannot make up for all the lives lost and dreams snatched, for all the suffering endured. But we can atone for it. We can acknowledge the crime. And we can do something to try to set things right, to ease the hardship and hurt of so many of our fellow Americans."
"None of us can be held responsible for the wrongs of our ancestors. But if today we choose not to do the right and necessary thing, that burden we own."
"School curricula generally treat slavery as an aberration in a free society, and textbooks largely ignore the way that many prominent men, women, industries, and institutions profited from and protected slavery."
"It is indeed a delicate task to work with evidentiary sources as well as the imagination to interpret the past, but I would argue that historians do this all the time. We always bring our creative mental faculties to bear when reconstructing the past. We draw inferences from sources, speculate about cause and effect, and envision times and places that we can never experience directly. Some scholars (and I count myself among them!) enjoy the challenge of pushing this process further to write history in intentionally narrative ways and even to write fiction based on historical knowledge and primary sources."
"During my research on ghost tours in the South that included slavery as a theme, I found that many of these tours had characteristics in common, such as the romanticization of relationships between enslavers and the enslaved, the diminishment of the sexual abuse that enslaved Black women endured, a gratuitous focus on violence, an exoticization of Black faith traditions, and a demonization of white women. I would say that if tourists hear narratives about slavery that sound too easy-going to be true or too grotesque to be respectful of people’s lived experience, they are probably listening to exaggerated or fabricated narratives crafted to increase revenue rather than to educate the public."
"I look for strong female characters that are up against challenges but are OK in the end."
"[At a campaign event held at Freeland, Michigan on September 10, 2020. President Donald Trump:] "We brought you a lot of car plants, Michigan! We brought you a lot of car plants. You know that, right?" Comes in prompt response the ear-splitting roar of affirmation, clear as clear can be: Yes, Mr. President, we know that! A joyful knowledge, a knowledge to celebrate: all those jobs in all those car plants! But what exactly is it possible to know about those car plants? I could not have been the only one in that obstreperous crowd, made up overwhelmingly of Michiganders, to know the presumably important fact that, well ... those car plants didn’t exist. [Ellipses and italics in the original source] Any member in good standing of the ancient "reality-based community" could have told you that since the coming of Trump no new car plants had been built in Michigan, that since his ascension not less than three thousand Michiganders had lost jobs in the vital auto sector."
"[Observing the Trump rally at The Ellipse preceding the Capitol attack on January 6, 2021] The imagery of Trumpism is about strength and cruelty and dominance even as the rhetoric is about loss and grievance and victimization: about what was taken and what must be seized back by strength."
"The thousands of crusaders were pouring from Pennsylvania and Constitution Avenues and coursing freely, like blood from an open wound, onto the unobstructed Capitol grounds. Screaming protesters, some shooting pepper spray or bear spray or thrusting their flags like spears, had been facing off against the outnumbered and under-armed Capitol Police since before Trump had finished speaking. Already the flimsy line of metal barriers had been breached, the crowd had pushed past the base of the steps, the single line of police, broken and bedraggled, struggled to keep them out of the building."
"[After referring to warnings from the FBI and Trump's tweets to his supporters] Despite these warnings, Capitol Police leaders failed to request or assign a single extra police officer to duty that day, and few who were on duty were in riot gear. Mutual sympathies between police and Trump marchers are well known—"Back the Blue!" is a frequent chant at his rallies—and there were clearly many police and military among the marchers."
"Still, however much we want to relegate the events of January 6 to the realm of the near-missed catastrophe, our politics remain imprisoned in a series of events unfolding from that day. The coup did not end on January 6 or even in the early hours of January 7, when Congress finally certified the election of the new president. Today this unfinished chain of cause and effect—call it a slow-motion coup—continues to unfold before the country. The coup drives news coverage. The coup elects candidates. And the coup has already gone far toward leaching from our democracy the one element indispensable for a peaceful politics: the legitimacy of our means of conferring power. By launching and leading his slow-motion coup, Donald Trump has led the country into an unfamiliar and darker world."
"That the Steal came fully formed from the president's mind and grew thanks to the fear and negligence of the politicians who thought they could "humor" him, that such a demonstrably false idea is now, as a firmly held belief of half the American electorate, a dominating strain in American history—that these astonishing events could come to disfigure the public life of the United States testifies to the decadence of the country's traditional hierarchies of power and information."
"By virtue of Trump's embodied grievance, his shamelessness, and his daring and skill at shaping a narrative—and then, when it is debunked, shaping another—Trump proves himself victorious, again and again, in attracting and holding eyeballs, which are the golden currency of our age. That American politics was destined to be absorbed by television and the communication and entertainment media it spawned could be foreseen as far back as John F. Kennedy, but the "reality star" Donald Trump is this new world's first grand apotheosis."
"[I]n a system of government built on dispersed power that can function only through compromise—in which a policy progresses through the bureaucracy by officials "working" a problem, not dictating a solution—Trump's authoritarian strain was repeatedly frustrated. He knew instinctively how to dominate the news cycle. But for all his self-promotion as a genius in "the art of the deal," his inability to focus or to lead meant that he never figured out how to convert that attention into power within the government that would help him put his policies, however ill-judged, into effect. Instead he fought against the obstacles that the institutions and the laws represented."
"Trump's campaign rhetoric so often flirts with incitements to violence that most of those comments scarcely even make the news. We are long accustomed to him denouncing his opponents or his judges or members of the news media as traitors. He must come up with something truly striking and original—for example, calling for the chairman of the joint chiefs to be executed for treason—to make us take notice."
"displacement has been a common path for Jews throughout history; they’ve always been displaced from one place to another, through diaspora, through a sense of expulsion, not being welcome anymore, being truly forced out."
"there are just a lot of stories that I hope won’t be lost. I want to be sure that this legacy remains, even though it’s a miniature community and maybe not of great interest to everybody in the world. Especially for writers like myself, who come from minority backgrounds—we’re trying to fill in absences or gaps. There was obviously no literature like Tia Fortuna when I was growing up. There’s this very large Jewish Latino community in Miami, but they’re just not represented in literature. I felt that was a gap that I could fill."
"self-interrogation is a special quality of anthropological work, one that we don’t see enough of in fiction. Sometimes in fiction, authors hide or erase the work and interrogation that they may have done to be able to write their novels. But in ethnography, we often include that interrogation within our texts. And to me, that’s an inspiring part of our storytelling."
"In my children’s fiction, I also want to teach them ideas. I don’t want them just to have a story: I’m giving somebody who perhaps knows nothing about Sephardic Jews a sense of that culture. Even if it is a preliminary sense, it’s an affirmation that this culture and these people exist. In that way, I’m bringing my ethnographic work even into a domain like the picture book."
"I often say that I am Jewish because I am Cuban. I feel gratitude toward Cuba because my four grandparents found refuge there in the years before WW II at a time when the door was closed to them in the United States. If not for the welcome they received in Cuba, I would not have been born. My family came to love Cuba. When we left in the 1960s, to start a new life again in the United States after the turn to communism, it was with great sorrow. My family lived through a double exodus, a double migration, from Europe to Cuba, and then from Cuba to the United States. If we had not been given refuge twice, we would not have survived. Knowing that my ancestors fled persecution and genocide, I believe we should be compassionate and humane toward immigrants and foster policies of welcome, kindness, and generosity of spirit."
"That is the magic of writing, and also the challenge of writing, not knowing what will happen until it’s on the page."
"I think the most fundamental thing we can do to make the world a better place is to be open to the stories of people, to listen and take in the lived experiences of others. Stories have the power to change the world. Understanding the hopes and dreams of another person, we learn that we are all connected, and that to nurture all of our communities, our families, and our individual lives we must nurture one another."
"When we lived in Cuba, I was smart. But when we got to Queens, in New York City, in the United States of America, I became dumb, just because I couldn't speak English. (first lines)"
"Being alive is the best gift of all. (p139)"
"“But wherever I go, I know I will feel most at home with the wounded of the world, who hold their heads up high no matter how broken they may seem.”"
"“Why is it that bad things have to happen so you learn there are lots of good people in the world?" (Ruthie)"
"“The only way to deal with fear is to treat it like an unwelcome guest. If you keep entertaining it, you’ll never be rid of it.” (Amara)"
""I think if your dreams are small they can get lost, like trying to find a needle in a haystack...When a dream is big, you can see it better and hold on to it." (Ruthie)"
"Pain is pain. Speak up. Tell your story. (Author's Note)"
"Healing is a journey and it takes its own sweet time. What a gift it is to get a second chance at life when the worst is past. (Author's Note)"
"I step out, legs trembling a little but my heart full, and set forth on the next journey, entrusting myself to the beauty and danger of life all over again. (Author's Note)"
"reading is one of our greatest human treasures, to be passed on from generation to generation, so the world might be a better place for everyone. (Acknowledgements)"
"Contemporary Sephardic writers in Latin America include Ana Maria Shua in Argentina, Isaac Chocrón in Venezuela, Ruth Behar in Cuba, Angelina Muñiz-Huberman, and Rosa Nissan in Mexico, and Victor Perera in Guatemala. They write about Jewish life-Sephardic and otherwise in the modern world."
"in this particularly hard moment, divided moment, poetry can really help us reclaim our humanity."
"The intention I have around building a project is to see if I can do something that helps us not only reconnect with our humanity but helps us repair our relationship with the natural world. I think so often we forget that our relationship to the Earth is reciprocal. And I think we've not only felt very disconnected from one another, from our communities, but also from the planet, and that's how harm is done. And so I think that I would really love to figure out how, you know, through poetry we might be able to repair that relationship with the Earth, with nature."
"(Do you see a role that poetry can play in the fight against climate change?) Poets—incredible nature poets like Mary Oliver, Gabriela Mistral, or Audre Lorde—look deeply at the world and make us feel like we are connected. Poetry that addresses the natural world helps us repair that connection. When you are paying attention to something, it’s a way of loving something. How can we continue to hurt something that we love?"
"I’m a big proponent of writing outside...I used to go to the Sonoma coast as a child, and it’s a wonderful place to write. There’s a lot of creativity to be mined in the ocean landscape because it’s always moving, always churning. It tones out some of the chaos of the brain. You hear that rush and pull of the ocean, and you’re lulled into a new rhythm for poetry."
"I’ve always loved birds. What bird-watching allows is to get out of yourself. The birds are not worried about news. They’re just breathing. They’re focusing on this moment. There’s a lesson to be learned from that."
"[Why he is willing to suffer consequences from detractors for his research:] I don't covet what they covet."
"One of my secret obsessions [...] is to force people to have civil discourse. I spend hours doing it."
"What it takes, at least from my experience, to do excellent work is long hours (not a hardship for me, I love my work), persistence, the willingness to take risks, to accept criticism, to stand by what you think if upon consideration, you believe you’re right, even if no one else believes it, and to head out into unknown places."
"All successful grant applicants have gotten rejections. The way to guarantee that you won't get a grant is to not apply."
"The way to advance in the field of history is to do excellent research and writing and then get it published. This takes lots of time and the more experience you have, the easier it gets. But it is never easy."
"It’s equal to five grocery-size bags full of plastic for every foot of coastline in the world"
"Well-behaved women seldom make history."
"So what do people see when they read that well-behaved women rarely make history? Do they imagine good-time girls in stiletto heels or do-good girls carrying clipboards and passing petitions? Do they envision an out-of-control hobbyist or a single mother taking down a drunk in a bar? I suspect that it depends on where they stand themselves."
"Some history-making is intentional; much of it is accidental. People make history when they scale a mountain, ignite a bomb, or refuse to move to the back of the bus. But they also make history by keeping diaries, writing letters, or embroidering initials on linen sheets. History is a conversation and sometimes a shouting match between present and past, though often the voices we most want to hear are barely audible. People make history by passing on gossip, saving old records, and by naming rivers, mountains, and children. Some people leave only their bones, though bones too make history when someone notices."
"An androgynous mind was not a male mind. It was a mind attuned to the full range of human experience, including the invisible lives of women."
"[Structure does not] just sit there, constraining actors by its formal characteristics, but recurrently poses problems to the actors, to which they must respond”. [At the same time, structure also provides a range of problem solving options for actors that will] generate both personal satisfaction and social respect."
"Ideas can only be met by ideas, and force by force."
"In my view, the task of the scholar is to learn, to criticize, and, wherever possible, to add to the store of valid knowledge."
"Novelty, originality, and creativity have no value if their products do not correspond to truth, to the contrary, they are harmful when they lead to false assertions.... We must separate our valid knowledge, that is documentable and objective from our religious, political and ideological preferences."
"Еvery intellectual in emigration, without exception, is damaged."
"Science is our century’s art."
"Many of today’s successful applications of artificial intelligence (AI) in medical imaging focus on the automation of tasks that radiologists can do."
"As the field matures, I hypothesise that AI models will be able to answer many questions that are challenging for physicians."
"What is the risk of getting a future disease."
"What is the efficacy of a certain treatment."
"How is a certain disease going to progress."
"I cannot imagine healthcare without a human physician in the loop."
"While AI imaging tools can certainly bring many benefits, they are not perfect. Their best utilisation will depend on how well they are integrated into the clinical pipeline."
"It is up to human experts to design safe and effective protocols."
"I predict that as these imaging models continue to develop, a lot of low-level tasks will be delegated to AI."
"The ultimate responsibility for clinical decisions will remain with physicians."
"To bring AI-imaging tools into a clinical setting, it is essential to have the agreement of physicians."
"AI is not part of the curriculum in most medical schools."
"This lack of background makes it challenging for physicians to adopt and trust this new technology."
"I think that in cancer and in many other diseases."
"The big question is always, how do you deal with uncertainty."
"It's all the matter of predictions."
"Today, we rely on humans who don't have this capacity to make predictions."
"Many times people get wrong treatments or they are diagnosed much later."
"I am a Professor in the Departments of Earth and Planetary Science and Environmental Science, Policy, and Management (see contact information below)."
"My research group studies microbial communities, primarily using cultivation-independent approaches such as genomics (metagenomics) and community proteomics."
"The transition to that launched the evolution of animals from marks one of the most pivotal, and poorly understood, events in . Advances in and , and particularly the study of s, are yielding new insights into the biology of the unicellular progenitors of animals. and gene families critical for animal development (including s and s) evolved in protozoa before the origin of animals. Innovations in and expansions of certain gene families may have allowed the integration of cell behavior during the earliest experiments with multicellularity. The protozoan perspective on animal origins promises to provide a valuable window into the distant past and into the cellular bases of animal development."
"s have a secret. While our research is motivated by a desire to reconstruct , it can also provide novel insights into fundamental cellular mechanisms in modern s. Studies of evolution reveal how the cell's component parts were “assembled” over time, how and why cells are vulnerable to disease and death, the molecular mechanisms that are responsible for fundamental cellular processes, and those mechanisms that distinguish the and of different lineages of organisms from each other. Studies of “evolutionary cell biology” promise to deepen our understanding of how cells function."
"... in the closing line of Darwin's ', he remarked on 'endless forms most beautiful', and he was referring to the incredible diversity of s ... much of his research and thinking had to with trying to understand: How do we get this diversity of s? And, there's been a great deal of progress in this regard, largely from the work of s, s, and s working together to try to understand what are molecular mechanistic underpinnings of the diversification of animal body plans. ... Animals are united by their shared ancestry. They all share a common ancestor … And, in fact, we know relatively little about the nature of that organism."
"It has been a long-standing challege for to construct a theory of quantum gravity. String theory is the leading candidate for a quantum theory of gravity. General Relativity has the seeds of its own destruction in it, since smooth can evolve into singular field configurations ... Classically this is not a problem if the singularities are hidden behind s ... since this means that nothing can come out from the region containing the singularity. However, Hawking showed, under very general assumptions, that quantum mechanics implies that black holes emit particles ... In his approximation this radiation is exactly thermal and contains no information about the state of the black hole. This leads to the , since particles can fall in carrying information but what comes out is featureless thermal radiation ... Hawking argued that this would lead to non-unitary evolution, so that one of the basic principles of quantum mechanics would have to be modified."
"In most situations, the contradictory requirements of quantum mechanics and general relativity are not a problem, because either the quantum effects or the gravitational effects are so small that they can be neglected or dealt with by approximations. When the of spacetime is very large, however, the quantum aspects of gravity become significant. It takes a very large or a great concentration of mass to produce much spacetime curvature. Even the curvature produced near the sun is exceedingly small compared with the amount needed for quantum gravity effects to become apparent. Though these effects are completely negligible now, they were very important in the beginning of the big bang, which is why a quantum theory of gravity is needed to describe how the big bang started. Such a theory is also important for understanding what happens at the center of black holes, because matter there is crushed into a region of extremely high curvature. Because gravity involves spacetime curvature, a quantum gravity theory will also be a theory of quantum spacetime ..."
"These of are very powerful. Let us recall the situation in flat space. If we have a massive in flat space then we can always boost to a . In AdS it is the same: if we consider the oscillating trajectory of a massive particle then we can "boost" to a frame where the particle is at rest. Thus, the moving particle does not know that is moving and, despite appearances, there is no "center" in AdS. The is part of the (as in the ) and there are several choices of Hamiltonian. Once we choose a Hamiltonian ... then we have chosen a "center" and a notion of the , in which a particle sits at this "center.""
"Interestingly, both quantum entanglement and s date back to two articles written by Albert Einstein and his collaborators in 1935. On the surface, the papers seem to deal with very different phenomena, and Einstein probably never suspected that there could be a connection between them. In fact, entanglement was a property of quantum mechanics that greatly bothered the German physicist, who called it How ironic that it now may offer a to extend his relativity theory to the quantum realm."
"... spacetime as a concept leads to some … where the equations fail. This happens in the interiors of the black holes when spacetime somehow collapses ... And, also, most importantly it happened in the beginning of the Big Bang."