Atheists

""Don't you want to join us?" I was recently asked by an acquaintance when he ran across me alone after midnight in a coffeehouse that was already almost deserted. "No, I don't," I said."

"I can prove at any time that my education tried to make another person out of me than the one I became. It is for the harm, therefore, that my educators could have done me in accordance with their intentions that I reproach them; I demand from their hands the person I now am, and since they cannot give him to me, I make of my reproach and laughter a drumbeat sounding in the world beyond."

"The Messiah will come only when he is no longer necessary; he will come only on the day after his arrival; he will come, not on the last day, but on the very last day."

"The whole visible world is perhaps nothing more than the rationalization of a man who wants to find peace for a moment. An attempt to falsify the actuality of knowledge, to regard knowledge as a goal still to be reached."

"If a man has his eyes bound, you can encourage him as much as you like to stare through the bandage, but he'll never see anything"

"There's no quiet place here on earth for our love, not in the village and not anywhere else, so I picture a grave, deep and narrow, in which we embrace as if clamped together, I bury my face against you, you yours against me, and no one will ever see us."

"One must fight to get to the top, especially if one starts at the bottom."

"I dream of a grave, deep and narrow, where we could clasp each other in our arms as with clamps, and I would hide my face in you and you would hide your face in me, and nobody would ever see us any more"

""Like a dog!" he said, it was as if the shame of it should outlive him."

"Logic may indeed be unshakeable, but it cannot withstand a man who is determined to live. Where was the judge he had never seen? Where was the High Court he had never reached? He raised his hands and spread out all his fingers. But the hands of one of the men closed round his throat, just as the other drove the knife deep into his heart and turned it twice."

"'...it is not necessary to accept everything as true, one must only accept it as necessary.' 'A melancholy conclusion,' said K. 'It turns lying into a universal principle.In the Cathedral"

"The writer has developed a “dynamical” approach to the study of cooperative games based upon reduction to non-cooperative form. One proceeds by constructing a model of the preplay negotiation so that the steps of negotiation become moves in a larger non-cooperative game [which will have an infinity of pure strategies] describing the total situation. This larger game is then treated in terms of the theory of this paper [extended to infinite games] and if values are obtained they are taken as the values of the cooperative game. Thus the problem of analyzing a cooperative game becomes the problem of obtaining a suitable, and convincing, non-cooperative model for the negotiation. The writer has, by such a treatment, obtained values for all finite two-person cooperative games, and some special n-person games."

"By the time I was a student in high school I was reading the classic Men of Mathematics by E. T. Bell and I remember succeeding in proving the classic Fermat theorem about an integer multiplied by itself p times where p is a prime."

"I would not dare to say that there is a direct relation between mathematics and madness, but there is no doubt that great mathematicians suffer from maniacal characteristics, delirium and symptoms of schizophrenia."

"We give two independent derivations of our solution of the two-person cooperative game. In the first, the cooperative game is reduced to a non-cooperative game. To do this, one makes the players’ steps of negotiation in the cooperative game become moves in the noncooperative model. Of course, one cannot represent all possible bargaining devices as moves in the non-cooperative game. The negotiation process must be formalized and restricted, but in such a way that each participant is still able to utilize all the essential strengths of his position. The second approach is by the axiomatic method. One states as axioms several properties that it would seem natural for the solution to have and then one discovers that the axioms actually determine the solution uniquely. The two approaches to the problem, via the negotiation model or via the axioms, are complementary; each helps to justify and clarify the other."

"The tools introduced by Nash gave rise to new powerful theories (convex integration, Nash-Moser scheme) which later would allow to attack many mathematical problems."

"[W]hile the book and the movie probed the conflicting complexities in Nash the man, neither delved deeply into Nash's math. So for most people today, his accomplishments remain obscure. Within the world of science, though, Nash's math now touches more disciplines than Newton's or Einstein's. What Newton's or Einstein's math did for the physical universe, Nash's math may now be accomplishing for the biological and social universe."

"When Freeman Dyson, the physicist, greeted John Forbes Nash, Jr. at the Institute for Advanced Study one day in the early 1990s, he hardly expected a response. A mathematics legend in his twenties, Nash had suffered for decades from a devastating mental illness. A mute, ghost-like figure who scrawled mysterious messages on blackboards and occupied himself with numerological calculations, he was known around Princeton only as “the Phantom.” To Dyson’s astonishment, Nash replied. He’d seen Dyson’s daughter, an authority on computers, on the news, he said. “It was beautiful,” recalled Dyson. “Slowly, he just somehow woke up.” Nash’s miraculous emergence from an illness long considered a life sentence was neither the first, nor last, surprise twist in an extraordinary life."

"As I said, I spent a great deal of time in the common room, and so did Nash. He was a very interesting character and full of ideas. He also used to wander in the corridors whistling things like Bach, which I had never really heard before — a strange way to be introduced to classical music! I saw quite a bit of him over those years and I also became interested in game theory, in which he was an important contributor. He was a very interesting person."

"He was always full of mathematical ideas, not only on game theory, but in geometry and topology as well. However, my most vivid memory of this time is of the many games which were played in the common room. I was introduced to Go and Kriegspiel, and also to an ingenious topological game which we called Nash in honor of the inventor."

"... he gave his name to the Nash equilibrium – a position in a situation of competition or conflict in which both sides have selected a strategy, but where neither side can then independently change their strategy without ending up in a less desirable position. Such positions are common in everyday life, and in the interactions of business people, politicians and nations. He earned his early reputation, and his 1994 Nobel prize in economics, by proving mathematically that there is at least one Nash equilibrium lying in wait to trap us in every situation of competition or conflict where the parties are unwilling or unable to communicate."

"A less obvious type of application (of non-cooperative games) is to the study of . By a cooperative game we mean a situation involving a set of players, pure strategies, and payoffs as usual; but with the assumption that the players can and will collaborate as they do in the von Neumann and Morgenstern theory. This means the players may communicate and form coalitions which will be enforced by an umpire. It is unnecessarily restrictive, however, to assume any transferability or even comparability of the pay-offs [which should be in utility units] to different players. Any desired transferability can be put into the game itself instead of assuming it possible in the extra-game collaboration."

"This man is a genius."

"You don't have to be a mathematician to have a feel for numbers. A movie, by the way, was made — sort of a small-scale offbeat movie — called Pi recently. I think it starts off with a big string of digits running across the screen, and then there are people who get concerned with various things, and in the end this Bible code idea comes up. And that ties in with numbers, so the relation to numbers is not necessarily scientific, and even when I was mentally disturbed, I had a lot of interest in numbers."

"People are always selling the idea that people with mental illness are suffering. I think madness can be an escape. If things are not so good, you maybe want to imagine something better. In madness, I thought I was the most important person in the world."

"Though I had success in my research both when I was mad and when I was not, eventually I felt that my work would be better respected if I thought and acted like a 'normal' person."

"Statistically, it would seem improbable that any mathematician or scientist, at the age of 66, would be able through continued research efforts, to add much to his or her previous achievements. However I am still making the effort and it is conceivable that with the gap period of about 25 years of partially deluded thinking providing a sort of vacation my situation may be atypical. Thus I have hopes of being able to achieve something of value through my current studies or with any new ideas that come in the future."

"At the present time I seem to be thinking rationally again in the style that is characteristic of scientists. However this is not entirely a matter of joy as if someone returned from physical disability to good physical health. One aspect of this is that rationality of thought imposes a limit on a person's concept of his relation to the cosmos."

"Gradually I began to intellectually reject some of the delusionally influenced lines of thinking which had been characteristic of my orientation. This began, most recognizably, with the rejection of politically-oriented thinking as essentially a hopeless waste of intellectual effort."

"As a graduate student I studied mathematics fairly broadly and I was fortunate enough, besides developing the idea which led to "," also to make a nice discovery relating to manifolds and real algebraic varieties. So I was prepared actually for the possibility that the game theory work would not be regarded as acceptable as a thesis in the mathematics department and then that I could realize the objective of a Ph. D. thesis with the other results."

"If, in a bad dream, we had seen all of the horrors in store for us after the war, we should have been sorry not to see Stalin go down together with Hitler: an end to the war in favour of our allies, civilized countries with democratic traditions, would have meant a hundred times less suffering for our people than that which Stalin again inflicted on it after his victory."

"Stop sending assassins to murder me... if this doesn't stop, I will send a man to Moscow and there'll be no need to send any more."

"If Stalin had been given another ten or fifteen years, Russia would have become the mightiest State in the world, and two or three centuries would have been required to bring about a change. It is a unique phenomenon! He has raised the standard of living—of that there is no doubt; no one in Russia goes hungry any more. They have built factories where a couple of years ago only unknown villages existed—and factories, mark you, as big as the Hermann Göring Works. They have built railways that are not yet even on our maps. In Germany we start quarrelling about fares before we start building the line! I have read a book on Stalin; I must admit, he is a tremendous personality, an ascetic who took the whole of that gigantic country firmly in his iron grasp."

"Stalin, too, must command our unconditional respect. In his own way he is a hell of a fellow! He knows his models, Genghiz Khan and the others, very well, and the scope of his industrial planning is exceeded only by our own Four Year Plan. And there is no doubt that he is quite determined that there shall be in Russia no unemployment such as one finds in such capitalist States as the United States of America."

"Stalin is one of the most extraordinary figures in world history. He began as a small clerk, and he has never stopped being a clerk. Stalin owes nothing to rhetoric. He governs from his office, thanks to a bureaucracy that obeys his every nod and gesture."

"Stalin is the best brain in polities today. Rut that does not mean that I have become a Bolshevik."

"Stalin will be rehabilitated, needless to say."

"I was already a confirmed anti-Stalinist at the age of seventeen .... The idea of killing Stalin filled my thougths and feelings .... We studied the 'technical' possibillities of an attack .... We even practiced. If they had condemned me to death in 1939, their decision would have been just. I had made up a plan to kill Stalin; wasn't that a crime? When Stalin was still alive, I saw things differently, but as I look back over this century, I can state that Stalin was the greatest individual of this century, the greatest political genius. To adopt a scientific attitude about someone is quite different from one's personal attitude."

"I consider him one of the greatest persons in the history of mankind. In the history of Russia he was, in my opinion, even greater than Lenin. Until Stalin's death I was anti-Stalinist, but I always regarded him as a brilliant personality."

"Generalissimo Stalin directed every move... made every decision... He is the greatest and wisest military genius who ever lived..."

"We think that Stalin's contribution to the revolution is much more important than the mistakes he made. To use the Chinese way, the score for Stalin would be thirty percent to seventy percent: thirty for his errors and seventy for his merits. Furthermore, Chairman Mao agreed with me on the question of Stalin's score, and, after the twentieth Congress of the CPSU, members of the Communist Party of China expressed a very clear judgment of Stalin."

"I confess that I approached Stalin with a certain amount of suspicion and prejudice. A picture had been built up in my mind of a very reserved and self-centred fanatic, a despot without vices, a jealous monopolizer of power. [...] I still expected to meet a ruthless, hard—possibly doctrinaire—and self-sufficient man at Moscow; a Georgian highlander whose spirit had never completely emerged from its native mountain glen. Yet I had had to recognize that under him Russia was not being merely tyrannized over and held down; it was being governed and it was getting on. [...] All such shadowy undertow, all suspicion of hidden emotional tensions, ceased for ever, after I had talked to him for a few minutes. [...] I have never met a man more candid, fair and honest, and to these qualities it is, and to nothing occult and sinister, that he owes his tremendous undisputed ascendency in Russia."

"The prospects of revolution seem therefore quite restriced. For can a revolution avoid war? It is, however, on this feeble chance that we must stake everything or abandon all hope. An advanced country will not encounter, in the case of revolution, the difficulties which in backward Russia served as a base for the barbarous regime of Stalin. But a war of any scope will give rise to others as formidable."

"The more power he had, the more power he accumulated and kept in his hands, the more power he wanted."

"I am a marxist, a leninist and I don't even consider disagreeable Stalin, who saved us from Hitler, more than the United States."

"Under the direction of Stalin and the CPSU, the Soviet Union achieved great successes and defeated the most repulsive product of capitalism: the 20th century's fascism."

"The proletarian internationalism of Stalin, as a marxist, wasn't questioned even from his fierce rivals in the ranks of the imperialists (as Hitler, Churchill, Roosevelt), while, on this matter, their modern followers still remember the "terrible hand of Moscow", as in the Comintern, in every place on the planet."

"As a good marxist, Stalin fought against the bourgeois state, he took charge of its destruction to its very foundations, and then, after destroying the society of exploitation and violence, he built the state of the working class and the farmers on its base."

"I believe that today, under the circumstances of capitalism crisis and the ever-increasing anti-communist reaction, the matter of the approach to the figure of Stalin is not historical or personal, but it's a matter of a burning current political debate. As in 1941, if you considered yourself an enemy of fascism and ready to fight against those fascist gangs, in any case you would have sided with Stalin. Those who thought differently and they considered themselves struggling again Stalinism and against Stalin, they would find themselves on the other side of the front, under the tricolour of general Vlasov."

"Stalin's communism was Marxism as a religion, fundamentalist religion. Every word of the bible Das Kapital, everything that Marx wrote was true.... Pretty soon, empirical research to find out what was really going on was stopped altogether in the Soviet Union under Stalin. When Stalin took over he discovered that some of the sociologists in Russia were studying the motivation of workers and finding that many of the workers were soldiering on the job. Since Marx said that once the workers were rightly related to the means of production there would be no problem with motivation because the workers would own the company, Stalin decided that the sociologists were lying when they reported that many workers in the Soviet Union were soldiering on the job. Hence, he sent the sociologists into exile in Siberia. Pretty soon, empirical research to find out what was really going on was stopped altogether in the Soviet Union under Stalin. The economy kept declining because they weren't finding out what was really happening. They were taking like the fundamentalists of the American's Bible taking Das Kapital as literally true rather than as it should, I think, be taken."