First Quote Added
April 10, 2026
Latest Quote Added
"[T]his Kochen-Specker paradox ...what it does ...[T]here's a problem in physics ...the measurement problem ...that's a wrong description. There's ...measuring the squared spin of a spin one particle. ...Let's say "measuring the spin" or measuring the [squared] component of spin ...of a spin one particle in a certain direction."
"The rise of determinism, it's just a consequence of the fact, science advanced tremendously, as a result mostly of... Newton and people like Laplace. They could determine things, but it's only the large scale science that ...seems ...deterministic. This century it's not been so."
"It's one of the things I most admire about Simon Kochen, my co-author, that... in August 2006, we'd been talking about this... for years... Suddenly the scales fell away, that had been obscuring the thing, and I said... "We've proved if we have free will, so do the particles" and he... said "Yes... this means that my stuff with Ax is all nonsense, doesn't it?""
"[S]omebody said, ..."We have to believe in free will. There's no choice." That's a nice ...sort of paradox ..."
"Here's a particle, and I... direct my finger at it... and ask... What's it's spin in that direction? ...This particle is quantized. ...[I]t can only give two answers ...1 and 0. If I hadn't put that word squared in it could give three answers, 1, -1 and 0 ...Initially, it was... obvious... to believe that this concept existed before you measured it, but that was found not to be so. ...[W]hat the says is that it can't exist before you measure it... because there's no consistent set of answers to every question."
"The classical... problem is... how densely a large number of identical spheres ([e.g.,] ball bearings...) can be packed together. ...[C]onsider an aircraft hangar... [A]bout one quarter of the space will not be used... One... arrangement... the face-centered cubic (or fcc) lattice... spheres occupy \pi / \sqrt{18} = .7405... of the total space.... the lattice packing has density .7405... . [H]pwever, there are partial packings that are denser than the face-centered cubic... over larger regions..."
"Dennis Overbye ...says ~everything we know of science convinces me ...that the world is deterministic, nevertheless I cling to the illusion of free will.~ (I'm not quoting his exact words.) ..~I can't run my life without this illusion.~ Some people have described it as a necessary illusion. We don't think it's an illusion ...It's not ...We think we have free will."
"... I have said for twenty-five or thirty years that the one thing I would really like to know before I die is why the monster group exists.""
"[I]n two dimensions the... [19 point] hexagonal lattice solves the packing, kissing, covering and quantizing problems. ...[T]his ...book is ...a search for similar nice patterns in higher dimensions."
"When I was on the train from Liverpool to Cambridge to become a student, it occurred to me that no one at Cambridge knew I was painfully shy, so I could become an extrovert instead of an introvert."
"We are planning a sequel... The Geometry of Low-Dimensional Groups and Lattices which will contain two earlier papers..."
"When I was a little boy, I had two sisters... and we used to play ...and I had no moral sense ...when playing ...[I]f I thought that my sisters were getting near to my object, I changed ...the object ...[Y]ou have to select a new object which answers the ...questions ...already ...asked ...That's what the particles do. ...If you ask them this ...spin question, they don't have an object in mind. Think of a cleverer boy... who never bothers to select an object... just gives... answers at random, and then starts thinking what the object is. ...[T]hat's what the particles do. They don't have an answer in mind for each direction... [[w:Simon B. Kochen|[K]ochen]] and Specker proved that a long time ago... and the reason... is that there's a little puzzle... that puzzle has no solution. ...[T]hey use 117 directions, but ...Asher Peres ...reduced this set of directions to 33... [T]here's no conceivable set of answers... that's consistent with ...the spin law."
"The classical... problem... asks: is this the greatest density..? an unsolved problem, one of the most famous..."
"In this chapter we discuss the problem of packing spheres in and of packing points on the surface of a sphere. The problem is an important special case of the latter, and asks how many spheres can just touch another sphere of the same size."
"The defects of German philosophy are those of professionalism: a closed atmosphere, books instead of life, inability to communicate discoveries to the world at large, contempt for good style, inbreeding, lack of general culture, gruesome earnestness. The defects of the cultured philosophe are those of amateurism: too many interests, superficiality, the cultivation of good style as an end in itself, the sacrifice of truth to wit, lack of intellectual honesty, philosophizing but no philosophy, inconsistency. Nietzsche achieves a balance between these two types of mind and two styles of expression: he is profound but not obscure; he aims at good style but reconciles it with good thinking; he is serious but not earnest; he is a sensitive critic of the arts and of culture but not an aesthete; he is an aphorist and epigrammist, but his aphorisms and epigrams derive from a consistent philosophy; he is the wittiest of philosophers, but he rarely succumbs to the temptation to sacrifice truth to a witty phrase; he has many interests but never loses sight of his main interests. He achieves, especially in his later works, a conciseness and limpidity notoriously rare in German writing: no modern thinker of a like profundity has had at his command so flexible an instrument of expression."
"The more closely one studies Nietzsche's work, the less inclined one is to look outside it for an elucidation of its meaning or an explanation of its origin."
"Nietzsche's views have always seemed so strikingly different from the background of opinion against which he grew up that they have often been thought to owe their origin to a violent reaction against his upbringing. His entire philosophy even has been seen as no more than a calculated antithesis to the tradition in which he was raised."
"We will be asked how, on our theory, justice can be a virtue and injustice a vice, since it will surely be difficult to show that any man whatsoever must need to be just as he needs the use of his hands and eyes, or needs prudence, courage and temperance? Before answering this question I shall argue that if it cannot be answered then justice can no longer be recommended as a virtue."
"The whole of moral philosophy, as it is now widely taught, rests on a contrast between statements of fact and evaluations. … If a man is given good evidence for a factual conclusion he cannot just refuse to accept the conclusion on the ground that in his scheme of things this evidence is not evidence at all. With evaluations, however, it is different. An evaluation is not connected logically with the factual statements on which it is based."
"There are here two assumptions about 'evaluations ', which I will call assumption (1) and assumption (2). Assumption (1) is that some individual may, without logical error, base his beliefs about matters of value entirely on premises which no one else would recognise as giving any evidence at all. Assumption (2) is that, given the kind of statement which other people regard as evidence for an evaluative conclusion, he may refuse to draw the conclusion because this does not count as evidence for him."
"It may seem that the only way to make a necessary connexion between 'injury' and the things that are to be avoided, is to say that it is only used in an 'action-guiding sense' when applied to something the speaker intends to avoid. But we should look carefully at the crucial move in that argument, and query the suggestion that someone might happen not to want anything for which he would need the use of hands or eyes. Hands and eyes, like ears and legs, play a part in so many operations that a man could only be said not to need them if he had no wants at all."
"Philosophers who have supposed that actual action was required if 'good' were to be used in a sincere evaluation have got into difficulties over weakness of will, and they should surely agree that enough has been done if we can show that any man has reason to aim at virtue and avoid vice. But is this impossibly difficult if we consider the kinds of things that count as virtue and vice? Consider, for instance, the cardinal virtues, prudence, temperance, courage and justice. Obviously any man needs prudence, but does he not also need to resist the temptation of pleasure when there is harm involved? And how could it be argued that he would never need to face what was fearful for the sake of some good? It is not obvious what someone would mean if he said that temperance or courage were not good qualities, and this not because of the 'praising' sense of these words, but because of the things that courage and temperance are."
"Universe to me is, if you’d like, the final character. Your landscape in a western is one of the most important characters the film has. The best westerns are about man against his own landscape. I think people have lost the ability to do that."
"Oh, it was always my thesis theory. It was one or two people who were relevant were... I can't remember if Hampton agreed with me or not. But I remember someone had said, “Well, isn't it corny?” I said, “Listen, I'll be the best fucking judge of that. I'm the director, okay?” So, and that, you learn -- you know, by then I'm 44, so I'm no fucking chicken. I'm a very experienced director from commercials and The Duellists and Alien. So, I'm able to, you know, answer that with confidence at the time, and say, “You know, back off, it's what it's gonna be.” Harrison, he was never -- I don't remember, actually. I think Harrison was going, “Uh, I don't know about that.” I said, “But you have to be, because Gaff, who leaves a trail of origami everywhere, will leave you a little piece of origami at the end of the movie to say, ‘I've been here, I left her alive, and I can't resist letting you know what's in your most private thoughts when you get drunk is a fucking unicorn!’” Right? So, I love Beavis and Butthead, so what should follow that is “Duh.” So now it will be revealed [in the sequel], one way or the other."
"Most novelists are desperate to do what I do."
"I had a very specific moment where I had watched Blade Runner [1982] – at home on VHS, not in the cinema because I was then too young. I became obsessed with it, the beauty of the density and layering of the imagery. And then, when I was old enough, I watched Alien [1979], and as when you hear two pieces by the same musician, or read two books by the same writer, I distinctly remember realising it was the same mind behind these two different movies. I had been making my own films, just shooting things and cutting them together, but suddenly, at the age of 13 or 14, I understood directing – the closest thing to what defines filmmaking for me. Realising that there was a mind controlling that aesthetic, that feeling at the end of the film. And it wasn’t any one thing: it was photography; it was sound; it was costumes… It was control over the whole mise en scène. My realisation was very particular to Ridley Scott, and my love for his films and obsession with the way he was doing things."
"I think he writes the truth. Because life is like that most of the time in some shape or form, whether it’s illness or the end of the world. Cormac’s a writer’s writer. You read his writing and think, I can do that, and then you sit down and try. And you try, dude."
"Just stare up at the stars at night, and you'll have those corny thoughts like we all do. How can you look at the galaxy and not feel insignificant? How on earth can we be it? It doesn't make sense. … It doesn't matter how much faith you have or don't have. I just don't buy the idea that we're alone. There's got to be some form of life out there."
"I'm really intrigued by those eternal questions of creation and belief and faith. I don't care who you are, it's what we all think about. It's in the back of all our minds."
"I do despair. That's a heavy word, but picking up a newspaper every day, how can you not despair at what's happening in the world, and how we're represented as human beings? The disappointments and corruption are dismaying at every level. And the biggest source of evil is of course religion. … Can you think of a good one? A just and kind and tolerant religion? … Everyone is tearing each other apart in the name of their personal god. And the irony is, by definition, they're probably worshipping the same god."
"How could that have happened? ... Even if it was a hand of God … I’d read – and I don’t know how they know this – but in approximately 3000 BC there was a massive undersea volcano and earthquake, which created a tsunami wave that had to have been a couple of hundred feet high. Just off the heel of Italy. Diagonally across you’re staring right up the mouth of the Nile, so I’m wondering if that had anything to do with that."
"I honestly wasn't paying attention in school when I was told the story of Moses. Some of the details of his life are extraordinary."
"It was a great achievement of the early chemists — with the crude experimental techniques available also with the ever-astonishing power of human reason (as potent then as now) — to discover this reduction of the world to its components, the chemical elements. Such reduction does not destroy its charm but adds understanding to sensation, and this understanding only deepens our delight."
"I have presented the periodic table as a kind of travel guide to an imaginary country, of which the elements are the various regions. This kingdom has a geography: the elements lie in particular juxtaposition to one another, and they are used to produce goods, much as a prairie produces wheat and a lake produces fish. It also has a history. Indeed, it has three kinds of history: the elements were discovered much as the lands of the world were discovered; the kingdom was mapped, just as the world was mapped, and the relative positions of the elements came to take on a great significance; and the elements have their own cosmic history, which can be traced back to the stars."
"This is the kingdom of the chemical elements, the substances from which everything tangible is made. It is not an extensive country, for it consists of only a hundred or so regions (as we shall often term the elements), yet it accounts for everything material in our actual world. From the hundred elements that are at the center of our story, all planets, rocks, vegetation, and animals are made. These elements are the basis of the air, the oceans, and the Earth itself. We stand on the elements, we eat the elements, we are the elements. Because our brains are made up of elements, even our opinions are, in a sense, properties of the elements and hence inhabitants of the kingdom."
"Chemistry is the science of matter and the changes it can undergo. The world of chemistry therefore embraces everything material around us—the stones we stand on, the food we eat, the flesh we are made of, and the silicon we build into computers. There is nothing material beyond the reach of chemistry, be it living or dead, vegetable or mineral, on Earth or in a distant star."
"The kingdom is not an amorphous jumble of regions, but a closely organized state in which the character of one region is close to that of its neighbor. There are few sharp boundaries. Rather, the landscape is largely characterized by transitions ..."
"The general disposition of the land is one of metals in the west, giving way, as you travel eastward, to a varied landscape of nonmetals, which terminates in largely inert elements at the eastern shoreline. To the south of the mainland, there is an offshore island, which we shall call the Southern Island. It consists entirely of metals of subtly modulated personality. North of the mainland, situated rather like Iceland off the northwestern edge of Europe, lies a single, isolated region-hydrogen. This simple but gifted element is an essential outpost of the kingdom, for despite its simplicity it is rich in chemical personality. It is also the most abundant element in the universe and the fuel of the stars."
"Memory is a mystery as deep as any that even psychology can propound. [Natural] Philosophers might perhaps encourage themselves to attack the problem of the nature of memory by reflecting that after all the process may in some of its aspects be comparable with that of inheritance, but the student of genetics, as long as he can keep in close touch with a profitable basis of material fact, will scarcely be tempted to look for inspiration in psychical analogies."
"More than one hundred years ago, William Bateson suggested that studying the regulation and timing of development was the key to understanding evolutionary change. He was right."
"I am well aware that some very eminent systematists regard the whole problem as solved. They hold as Darwin did that specific diversity has no physiological foundation or causation apart from adaptation, and that species are impermanent groups, the delimitations of which are ultimately determined by environmental exigency or "fitness." The specific diversity of living things is thus regarded as being something quite different in nature from the specific diversity of inorganic substances. In practice those who share these opinions are, as might be anticipated, to be found among the 'lumpers' rather than among the 'splitters.' In their work, certainly, the Darwinian theory is actually followed as a guiding principle; unanalysed intergradations of all kinds are accepted as impugning the integrity of species; the underlying physiological problem is forgotten, and while the product is almost valueless as a contribution to biological research, I can scarcely suppose that it aids greatly in the advances of other branches of our science."
"In Darwin's time no serious attempt had been made to examine the manifestations of variability. A vast assemblage of miscellaneous facts could formerly be adduced as seemingly comparable illustrations of the phenomenon "Variation." Time has shown this mass of evidence to be capable of analysis. When first promulgated it produced the impression that variability was a phenomenon generally distributed amongst living things in such a way that the specific divisions must be arbitrary. When this variability is sorted out, and is seen to be in part a result of hybridisation, in part a consequence of the persistence of hybrids by parthenogenetic reproduction, a polymorphism due to the continued presence of individuals representing various combinations of Mendelian allelomorphs, partly also the transient effect of alteration in external circumstances, we see how cautious we must be in drawing inferences as to the indefiniteness of specific limits from a bare knowledge that intermediates exist."
"In spite of Darwin's hopes, the acceptance of his views has led to no real improvement — scarcely indeed to any change at all in either the practice or aims of systematists. In a famous passage in the Origin he confidently declares that when his interpretation is generally adopted "Systematists will be able to pursue their labours as at present; but they will not be incessantly haunted by the shadowy doubt whether this or that form be a true species. This, I feel sure, and I speak after experience, will be no slight relief. The endless disputes whether or not some fifty species of British brambles are good species will cease." Those disputes nevertheless proceed almost exactly as before. It is true that biologists in general do not, as formerly, participate in these discussions because they have abandoned systematics altogether; but those who are engaged in the actual work of naming and cataloguing animals and plants usually debate the old questions in the old way. There is still the same divergence of opinion and of practice, some inclining to make much of small differences, others to neglect them. Not only does the work of the sytematists as a whole proceed as if Darwin had never written but their attitude towards these problems is but little changed."
"Since the belief in transmission of acquired adaptations arose from preconception rather than from evidence, it is worth observing that, rightly considered, the probability should surely be the other way. For the adaptations relate to every variety of exigency. To supply themselves with food, to find it, to seize and digest it, to protect themselves from predatory enemies whether by offence or defence, to counter-balance the changes of temperature, or pressure, to provide for mechanical strains, to obtain immunity from poison and from invading organisms, to bring the sexual elements into contact, to ensure the distribution of the type; all these and many more are accomplished by organisms in a thousand most diverse and alternative methods. Those are the things that are hard to imagine as produced by any concatenation of natural events; but the suggestions that organisms had had from the beginning innate in them a power of modifying themselves, their organs and their instincts so as to meet these multifarious requirements does not materially differ from the more overt appeals to supernatural intervention. The conception, originally introduced by Hering and independently by S. Butler, that adaptation is a consequence or product of accumulated memory was of late revived by Semon and has been received with some approval, especially by F. Darwin. I see nothing fantastic in the notion that memory may be unconsciously preserved with the same continuity that the protoplasmic basis of life possesses. That idea, though purely speculative and, as yet, incapable of proof or disproof contains nothing which our experience of matter or of life at all refutes. On the contrary, we probably do well to retain the suggestion as a clue that may some day be of service. But if adaptation is to be the product of these accumulated experiences, they must in some way be translated into terms of physiological and structural change, a process frankly inconceivable."
"The concept of evolution as proceeding through the gradual transformation of masses of individuals by the accumulation of impalpable changes is one that the study of genetics shows immediately to be false. Once for all, that burden so gratuitously undertaken in ignorance of generic physiology by the evolutionists of the last century may be cast into oblivion. For the facts of heredity and variation unite to prove that genetic variation is a phenomenon of individuals."
"That the variations are controlled by physiological law, we have now experimental proof; but that this control is guided ever so little in response to the needs of adaptation there is not the smallest sign."
"Of the contributions made during the essayist period three call for notice: Weismann deserves mention for his useful work in asking for the proof that "acquired characters" or, to speak more precisely, parental experience can really be transmitted to the offspring. The ocurrence of progressive adaptation by transmission of effects of use had seemed so natural to Darwin and his contemporaries that no proof of the physiological reality of the henomenon was thought necessary. Weismann's challenge revealed the utter inadequacy of the evidence on which the beliefs were based. They are doubtless isolated observations which may be interpreted as favouring the belief in these transmissions, but such meagre indications as exist are by general consent admitted to be too slight to be of much assistance in the attempt to understand how the more complex adaptive mechanisms arose."
"I well remember receiving from one of the most earnest of my seniors the friendly warning that it was waste of time to study variation, for "Darwin had swept the field." Parenthetically we may notice that though scientific opinion in general became rapidly converted to the doctrine of pure selection, there was one remarkable exception. Systematists for the most part kept aloof. Everyone was convinced that natural selection operating in a continuously varying population was a sufficient account of the origin of species except the one class of scientific workers whose labours familiarised them with the phenomenon of specific difference. From that time the systematists became, as they still in great measure remain, a class apart."
"If species had really arisen by the natural selection for impalpable differences, intermediate forms should abound, and the limits between species should be on the whole indefinite. As this conclusion follows necessarily from the premisses, the selectionists believe and declare that it represents the facts of nature. Difference between species being by axiom indefinite, the differences between varieties must be supposed to be still less definite. Consequently the conclusion that evolution must proceed by insensible transformation of masses of individuals has become an established dogma."
"In the light of the new knowledge various plausible, but frequently unsatisfying, suggestions put forward, especially by Wallace, Weismann, and their followers, as probable accounts of evolutionary progress, must be finally abandoned."