Jews From Germany

"“I know of only two political parties—that which is for me, and that which is against me!” The motto of an absolute ruler. These words, spoken at the age of thirty, at a time when good intentions were at their highest and infatuation was at its lowest, introduce the theme which for three decades he was to vary by alienation from all parties in turn."

"Intrigue is always at the bottom of all political activities."

"Bismarck was an oppression on the realm. For a decade no political intelligence had dared to raise its head, unless prepared to defy him; thus the best brains in the Opposition were repressed, instead of ripening to potential authority. No official could develop under his rule, for all feared him who drew all things into his orbit, and decreed. Justly could the young Emperor say: “I have no Ministers; they are all Prince Bismarck’s Ministers.”"

"As a stage manager and advertiser, he gave proof as real genius. In his book... "The Entente," he writes, "won the war simply and solely by its propaganda." A crowd is ready to believe anything, "true or false," provided it is constantly reiterated; one only has to say the same thing often enough."

"Hitler's aim was to attract attention to himself. ...[H]e personally arranged all the lighting effects and spotlights, as well as his entry into a hall with fanfares. He trained crowds to salute with the right arm, taught them his songs, and transformed the audience from an apathetic mass into active collaborators in his festivities."

"Hitler's technique of oratory is largely the result of... mass psychology... He declared to his small, new party that everything depended on fascinating the crowd. Above all... restore to the German people, deprived of an army, their flags, bands and songs. ...He invented every emblem himself, except the swastika, designed his own flag, and prescribed every collar and button for the slowly-growing party troops."

"The land is groaning now. More than a million of her sons—the half of her youth—lie prostrate, rotting in alien soil. Hark to the mothers’ tears, the fathers’ execrations; see this brave famished people cower to the victor’s lash! Are these the glorious days you vowed to bring your people? Which of your promises have you kept? Though Nature and upbringing wronged you, what have you done with your many gifts in that festival you made of life? In the service of your phrases, your pretensions, this great people has been led astray; and when for once it warned you, you derided it. After four inactive years—four years of sacrifice for all but you—you have refused your people the last service which, in history’s eyes, might still have saved you; and for scurvy life are breaking now the soldier’s oath you swore before you grandsire—the oath inviolate; you dinned that in their ears a thousand times. Now, in their direst need, you wash your hands of them—wife, children, subjects; in your craven fear you cast away the honor of your fathers. Chaos is upon your land; and while millions stare privation and slavery in the face, one man, the man who stands for all, steps into his luxurious car and rolls away to ease and comfort in a neutral country."

"The Emperor wanted to attract the adherents of the new doctrines by protecting the status of the working-man; he addressed the as “Ihr” and “Du,” fancied himself in the part of father of his people, was anxious to distribute privileges without himself abjuring any—in short, he wanted “popular absolutism,” after the fashion of Frederick the Great. Only he forgot that a century had gone by since then."

"Die Entscheidung, sich zum ersten Mal zu küssen, ist die wichtigste in jeder Liebesbeziehung. Es verändert die Beziehung von zwei Menschen wesentlich stärker als letzendlich die Kapitulation; denn dieser Kuss trägt die Kapitulation schon in sich."

"And so the Emperor-King, in his oath, had sworn only to his own actual authority to decide all vital national questions “to the best of his ability”—and on what other principle does any reasonable human being proceed? None the less he remained, whatever the consequences, inviolable, unindictable, or, as it was expressed in other German National Constitutions, “hallowed.” At the beginning of the twentieth century, in the Old and the New Worlds, there was—besides the Tsar and the Sultan—no one who possessed such authority as William the Second."

"Youth is not a time of life; it is a state of mind; it is not a matter of rosy cheeks, red lips and supple knees; it is a matter of the will, a quality of the imagination, a vigor of the emotions; it is the freshness of the deep springs of life. Youth means a temperamental predominance of courage over timidity of the appetite, for adventure over the love of ease. This often exists in a man of sixty more than a boy of twenty. Nobody grows old merely by a number of years. We grow old by deserting our ideals. Years may wrinkle the skin, but to give up enthusiasm wrinkles the soul. Worry, fear, self-distrust bows the heart and turns the spirit back to dust. Whether sixty or sixteen, there is in every human being's heart the lure of wonder, the unfailing child-like appetite of what's next, and the joy of the game of living."

"In the center of your heart and my heart there is a wireless station; so long as it receives messages of beauty, hope, cheer, courage and power from men and from the infinite, so long are you young. When the aerials are down, and your spirit is covered with snows of cynicism and the ice of pessimism, then you are grown old, even at twenty, but as long as your aerials are up, to catch the waves of optimism, there is hope you may die young at eighty."

"… trace Ullman’s American journey chronologically, first as a young man assisting his father in a grocery business in Port Gibson, then as a soldier for the Confederacy. Ullman survived injuries he suffered during the Civil War, returned to Port Gibson, and soon moved to the larger city of Natchez, where he established a business, entered the civic and religious life of the community, and married and began a family. Ullman was respected and rewarded for his service to the community, particularly during periods when deadly "fevers" moved up the Mississippi River from New Orleans to Natchez. As many abandoned the unhealthy city, Ullman remained to run his and others’ businesses, to provide religious services for the temple congregation, and to serve as a civic leader. Ullman was elected a city alderman and was appointed to the city’s board of education. The black, as well as the white, community found him always impartial and fair, a rare attitude for that time and community. Seeking improved economic circumstances for his family, Ullman moved to Birmingham, Alabama, in 1884. In this New South city, he established a hardware store, joined a small Reform congregation, and was immediately placed on Birmingham’s board of education. As chairman of the board, he gave critical support for creation of a high school for blacks in the city, one of the few such schools anywhere in the South at that time. Ullman’s energy and charisma also won him a place on the city’s board of aldermen and a lengthy term as president of Temple Emanu-El. During a particularly tumultuous time for the temple, Ullman was asked to become the congregation’s rabbi, a rare if not unprecedented act in American Judaism. Ullman also served on local and state commissions that sought to reform economic and political processes within the state. … His poetic essay "Youth" inspired vision and confidence in [Japan] after World War II … [and] entered the psyche and culture of America."

"It is true that M. Fourier had the opinion that the principal end of mathematics was the public utility and the explanation of natural phenomena; but such a philosopher as he is should have known that the unique end of science is the honor of the human mind, and that from this point of view a question of number is as important as a question of the system of the world."

"I ought also to mention his papers on Abelian transcendants; his investigations on the theory of numbers... his important memoirs on the theory of differential equations, both ordinary and partial; his development of the calculus of variations; and his contributions to the problem of three bodies, and other particular dynamical problems. Most of the results of the researches last named are included in his Vorlesungen über Dynamik."

"Jacobi's most celebrated investigations are those on elliptic functions, the modern notation in which is substantially due to him, and the theory of which he established simultaneously with Abel, but independently of him. Jacobi's results are given in his treatise on elliptic functions, published in 1829, and in some later papers in Crelle's Journal; they are earlier than Weierstrass's researches... The correspondence between Legendre and Jacobi on elliptic functions has been reprinted in the first volume of Jacobi's collected works. Jacobi, like Abel, recognised that elliptic functions were not merely a group of theorems on integration, but that they were types of a new kind of function, namely, one of double periodicity; hence he paid particular attention to the theory of the theta function."

"His [Lagrange's] lectures on differential calculus form the basis of his Theorie des fonctions analytiques which was published in 1797. ...its object is to substitute for the differential calculus a group of theorems based upon the development of algebraic functions in series. A somewhat similar method had been previously used by John Landen in his Residual Analysis... Lagrange believed that he could... get rid of those difficulties, connected with the use of infinitely large and infinitely small quantities, to which philosophers objected in the usual treatment of the differential calculus. ...Another treatise in the same lines was his Leçons sur le calcul des fonctions, issued in 1804. These works may be considered as the starting-point for the researches of Cauchy, Jacobi, and Weierstrass."

"History knew a midnight, which we may estimate at about the year 1000 A.D., when the human race lost the arts and sciences even to the memory. The last twilight of paganism was gone, and the new day had not yet begun. Whatever was left of culture in the world was found only in the Saracens, and a Pope eager to learn studied in disguise in their universities, and so became the wonder of the West. At last Christendom, tired of praying to the dead bones of the martyrs, flocked to the tomb of the Saviour Himself, only to find for a second time that the grave was empty and that Christ was risen from the dead. Then mankind too rose from the dead. It returned to the activities and the business of life; there was a feverish revival in the arts and in the crafts. The cities flourished, a new citizenry was founded. Cimabue rediscovered the extinct art of painting; Dante, that of poetry. Then it was, also, that great courageous spirits like Abelard and Saint Thomas Aquinas dared to introduce into Catholicism the concepts of Aristotelian logic, and thus founded scholastic philosophy. But when the Church took the sciences under her wing, she demanded that the forms in which they moved be subjected to the same unconditioned faith in authority as were her own laws. And so it happened that scholasticism, far from freeing the human spirit, enchained it for many centuries to come, until the very possibility of free scientific research came to be doubted. At last, however, here too daylight broke, and mankind, reassured, determined to take advantage of its gifts and to create a knowledge of nature based on independent thought. The dawn of the day in history is know as the Renaissance or the Revival of Learning."

"Wherever Mathematics is mixed up with anything, which is outside its field, you will find attempts to demonstrate these merely conventional propositions a priori, and it will be your task to find out the false deduction in each case."

"Any progress in the theory of partial differential equations must also bring about a progress in Mechanics."

"The best approach to Jacobi is perhaps through his beautiful lectures on dynamics ("Vorlesungen über Dynamik"), published in 1866 after lecture notes from 1842-43."

"Sylvester has given the name "Jacobian" to the functional determinant in order to pay respect to Jacobi's work on algebra and elimination theory. The best known of Jacobi's papers on this subject is his "De formatione et proprietatibus determinantium" (1841), which made the theory of determinants the common good of the mathematicians."

"In 1829, the year that Abel died, Carl Gustav Jacob Jacobi published his "Fundamenta nova theoriae functionum ellipticarum." Jacobi based his theory of elliptic functions on four functions defined by infinite series and called theta functions. ...The addition theorems of elliptic functions can also be considered as special applications of Abel's theorem on the sum of integrals of algebraic equations. The question now arose whether hyper-elliptic integrals could be inverted in the way elliptic integrals had been inverted to yield elliptic functions. The solution was found by Jacobi in 1832 when he published his result that the inversion could be performed with functions of more than one variable. Thus the theory of Abelian functions of p variables was born, which became an important branch of Nineteenth century mathematics."

"Aside from Cauchy, the greatest contributory to the theory [of determinants] was Carl Gustav Jacob Jacobi. With him the word "determinant" received its final acceptance. He early used the functional determinant which Sylvester has called the Jacobian, and in his famous memoirs in Crelle's Journal for 1841 he considered these forms as well as that class of alternating functions which Sylvester has called alternants."

"C. J. Jacobi was especially distressed because on several occasions when he came to Gauss to relate some new discoveries the latter pulled out from his desk drawer some papers that contained the very same discoveries. Jacobi resolved to get even. ...Gauss opened his desk drawer and pulled out some papers ...Jacobi then remarked, "It is a pity that you did not publish this work since you have published so may poorer papers.""

"Among standard works on mechanics are Jacobi's Vorlesungen über Dynamik, edited by Clebsch, 1866."

"Advances in theoretical mechanics, bearing on the integration and the alteration in form of dynamical equations, were made since Lagrange by Poisson, William Rowan Hamilton, Jacobi, Madame Kowalevski, and others. Lagrange had established the "Lagrangian form" of the equations of motion. He had given a theory of the variation of the arbitrary constants which, however, turned out to be less fruitful in results than a theory advanced by Poisson. ...Hamilton's method of integration was freed by Jacobi of an unnecessary complication, and was then applied by him to the determination of a geodetic line on the general ellipsoid. With aid of elliptic coordinates Jacobi integrated the partial differential equation and expressed the equation of the geodetic in form of a relation between two Abelian integrals. Jacobi applied to differential equations of dynamics the theory of the ultimate multiplier. The differential equations of dynamics are only one of the classes of differential equations considered by Jacobi. Dynamic investigations along the lines of Lagrange, Hamilton, and Jacobi were made by Liouville, A. Desboves, Serret, J. C. F. Sturm, Ostrogradsky, J. Bertrand, Donkin, Brioschi, leading up to the development of the theory of a system of canonical integrals."

"The problem of three bodies has been treated in various ways since the time of Lagrange, but no decided advance towards a more complete algebraic solution has been made, and the problem stands substantially where it was left by him. He had made a reduction in the differential equations to the seventh order. This was elegantly accomplished in a different way by Jacobi in 1843."

"Gauss' researches on the theory of numbers were the starting-point for a school of writers, among the earliest of whom was Jacobi. The latter contributed to Crelle's Journal an article on cubic residues, giving theorems without proofs. After the publication of Gauss' paper on biquadratic residues, giving the law of biquadratic reciprocity, and his treatment of complex numbers, Jacobi found a similar law for cubic residues. By the theory of elliptical functions, he was led to beautiful theorems on the representation of numbers by 2, 4, 6, and 8 squares."

"Cauchy made some researches on the calculus of variations. This subject is now in its essential principles the same as when it came from the hands of Lagrange. Recent studies pertain to the variation of a double integral when the limits are also variable, and to variations of multiple integrals in general. ...In 1837 Jacobi published a memoir, showing that the difficult integrations demanded by the discussion of the second variation, by which the existence of a maximum or minimum can be ascertained, are included in the integrations of the first variation, and thus are superfluous. This important theorem, presented with great brevity by Jacobi, was elucidated and extended by V. A. Lebesgue, C. E. Delaunay, Eisenlohr, S. Spitzer, Hesse, and Clebsch. ...In 1852 G. Mainardi attempted to exhibit a new method of discriminating maxima and minima, and extended Jacobi's theorem to double integrals. Mainardi and F. Brioschi showed the value of determinants in exhibiting the terms of the second variation."

"The theory of determinants was studied by Hoëné Wronski in Italy and J. Binet in France; but they were forestalled by the great master of this subject, Cauchy. In a paper (Jour. de l'ecole Polyt., IX., 16) Cauchy developed several general theorems. He introduced the name determinant a term previously used by Gauss in the functions considered by him. In 1826 Jacobi began using this calculus, and he gave brilliant proof of its power. In 1841 he wrote extended memoirs on determinants in Crelle's Journal, which rendered the theory easily accessible."

"The most important of Legendre's works is his Functions elliptiques, issued in two volumes in 1825 and 1826. He took up the subject where Euler, Landen, and Lagrange had left it, and for forty years was the only one to cultivate this new branch of analysis, until at last Jacobi and Abel stepped in with admirable new discoveries."

"What attracted me so strongly and exclusively to mathematics, apart from the actual content, was particularly the specific nature of the mental processes by which mathematical concepts are handled. This way of deducing and discovering new truths from old ones, and the extraordinary clarity and self-evidence of the theorems, the ingeniousness of the ideas... had an irresistible fascination for me. Beginning from the individual theorems, I grew accustomed to delve more deeply into their relationships and to grasp whole theories as a single entity. That is how I conceived the idea of mathematical beauty..."

"There have been only three epoch-making mathematicians: Archimedes, Newton, and Eisenstein."

"As any reader of Eisenstein must realise, he felt hard pressed for time during the whole of his short mathematical career... His papers, although brilliantly conceived, must have been written by fits and starts, with the details worked out only as the occasion arose; sometimes a development is cut short, only to be taken up again at a later stage."

"As Eisenstein shows, his method for constructing elliptic functions applies beautifully to the simpler case of trigonometric functions. Moreover, this case provides not merely an illuminating introduction to his theory, but also the simplest proofs for a series of results, originally discussed by Euler."

"Looking back from today's vantage, Eisenstein's mathematics appear to us more up to date than ever. It is not so much the harvest of theorems, nor the creation of full-fledged theories, but the way of looking at things which amazes us..."

"As a boy of six I could understand the proof of a mathematical theorem more readily than that meat had to be cut with one's knife, not one's fork."

"So dürfte von einem unvergeßlichen Leben oder Augenblick gesprochen werden, auch wenn alle Menschen sie vergessen hätten. Wenn nämlich deren Wesen es forderte, nicht vergessen zu werden, so würde jenes Prädikat nichts Falsches, sondern nur eine Forderung, der Menschen nicht entsprechen, und zugleich auch wohl den Verweis auf einen Bereich enthalten, in dem ihr entsprochen wäre: auf ein Gedenken Gottes."

"[A]n enormous Anglo-American industry of post-structuralist and postmodernist interpretation has grown up around the translations we have, distorting Benjamin’s real concerns. Apart from specialists familiar with the German background to his work, English-speaking readers are probably no closer to understanding Benjamin’s writings than they were when Hannah Arendt first introduced him in America over twenty-five years ago."

"Walter Benjamin … must surely be among the 20th century's most overrated writers. Paris, Berlin, Moscow, Karl Kraus — Benjamin could render the juiciest of subjects arid."

"Postmodernism, like Walter Benjamin's 'mechanical reproduction', seeks to dismantle the intimidating aura of high-modernist culture with a more demotic, user-friendly art, suspecting all hierarchies of value as privileged and elitist. There is no better or worse, just different."

"Fiction is all about that moment of transition from one to another state of being. If that metamorphosis doesn’t occur, the character doesn’t change. We, the readers, don’t change. This reminds me of Walter Benjamin, who observes that stories transform the storyteller as well as the listeners."

"In the fields with which we are concerned knowledge exists only in lightning flashes. The text is the thunder rolling long afterwards."

"History breaks down in images not into stories."

"Only a thoughtless observer can deny that correspondences come into play between the world of modern technology and the archaic symbol-world of mythology."

"We know that the Jews were prohibited from investigating the future. The Torah and the prayers instruct them in remembrance, however. This stripped the future of its magic, to which all those succumb who turn to the soothsayers for enlightenment. This did not imply, however, that for the Jews the future turned into homogeneous empty time. For every second of time was the straight gate through which the Messiah might enter."

"The present, which, as a model of Messianic time, comprises the entire history of mankind in an enormous abridgment, coincides with the stature which the history of mankind has in the universe."

"The nourishing fruit of the historically understood contains time as a precious but tasteless seed."

"Thinking involves not only the flow of thoughts, but their arrest as well."