Science

"For I do not believe that it is through the interference of Divine Providence … that the spittle of a certain person moved, fell on a certain gnat in a certain place, and killed it."

"Quand une regle est fort composée, ce qui luy est conforme, passe pour irrégulier."

"A random sequence is a vague notion in which each term is unpredictable to the uninitiated and whose digits pass a certain number of tests traditional with statisticians and depending somewhat on the uses to which the sequence is to be put."

"The sun comes up just about as often as it goes down, in the long run, but this doesn't make its motion random."

"Random numbers should not be generated with a method chosen at random."

"Random chance was not a sufficient explanation of the Universe — in fact, random chance was not sufficient to explain random chance."

"The fact that randomness requires a physical rather than a mathematical source is noted by almost everyone who writes on the subject, and yet the oddity of this situation is not much remarked."

"Consideration of black holes suggests, not only that God does play dice, but that he sometimes confuses us by throwing them where they can't be seen."

"Randomness is a very, very subtle concept with its study properly belonging to statisticians more than mathematicians."

"Perhaps randomness is not merely an adequate description for complex causes that we cannot specify. Perhaps the world really works this way, and many events are uncaused in any conventional sense of the word."

"Events may appear to us to be random, but this could be attributed to human ignorance about the details of the processes involved."

"The theory says a lot, but does not really bring us any closer to the secret of the 'old one'. I, at any rate, am convinced that He does not throw dice."

"The generation of random numbers is too important to be left to chance."

"He who believes this (atomism) may as well believe that if a great quantity of the one-and-twenty letters, composed either of gold or any other matter, were thrown upon the ground, they would fall into such order as legibly to form the Annals of Ennius. I doubt whether fortune could make a single verse of them."

"How dare we speak of the laws of chance? Is not chance the antithesis of all law?"

"During the period that began with classical Greece and ended with late pagan antiquity, philosophy was more than merely a theoretical discipline. Even when Aristotle identified philosophy with "theory," his purpose is to argue ... that a life of theoretical activity, the life of philosophy, was the best life that human beings could lead."

"[T]wo aspects of this older positivist view... lack validity and impede understanding: ...the notion of a timeless based on rigorously objective observation and logic, and ...that earlier systems were either theory-free or theory-poor because explanation can only follow accurate description. Theory-free science makes about as much sense as value-free politics. Both... are oxymoronic. All thinking about the natural world must be informed by theory... The old... theories may have been wrong, but they were as persuasive (and restrictive) in the structuring of knowledge as any more accurate and later system... [W]e cannot collect information without a theory to organize our searches and observations. ...[T]heory is always, and must be, colored by social and psychological biases of surrounding culture; we have no access to utterly objective observation or universally unambiguous logic."

"It has been said, and wisely said, that every successful physical theory swallows its predecessors whole."

"Great theories are expansive; failures mire us in dogmatism and tunnel vision."

"... plays the same foundation-stone role in monetary theory that Einstein's E = mc2 does in physics."

"Theory no longer is theoretical when it loses sight of its own conditional nature, takes no risk in speculation, and circulates as a form of administrative inquisition. Theory oppresses, when it wills or perpetuates existing power relations, when it presents itself as a means to exert authority—the Voice of Knowledge."

"Quantum mechanics is not itself a dynamical theory. It is an empty stage. You have to add the actors: You have to specify the space of configurations, an infinite-dimensional complex space, and the dynamical rules for how the state vector rotates in this space as time passes."

"When a theory is transformed into an ideology, it begins to destroy the self and self-knowledge. Originally born of feeling, it pretends to float above and around feeling. Above sensation. It organizes experience according to itself, without touching experience. By virtue of being itself, it is supposed to know. To invoke the name of this ideology is to confer truthfulness. No one can tell it anything new. Experience ceases to surprise it, inform it, transform it. It is annoyed by any detail which does not fit into its world view. Begun as a cry against the denial of truth, now it denies any truth which does not fit into its scheme. Begun as a way to restore one's sense of reality, now it attempts to discipline real people, to remake natural beings after its own image. All that it fails to explain it records as its enemy. Begun as a theory of liberation, it is threatened by new theories of liberation; it builds a prison for the mind."

"Facts and theories are different things, not rungs in a hierarchy of increasing certainty. Facts are the world's data. Theories are structures of ideas that explain and interpret facts. Facts do not go away while scientists debate rival theories for explaining them."

"I learned about renormalization theory as a graduate student, mostly by reading Dyson’s papers. ... From the beginning it seemed to me to be a wonderful thing that very few quantum field theories are renormalizable. Limitations of this sort are, after all, what we most want, not mathematical methods which can make sense of an infinite variety of physically irrelevant theories, but methods which carry constraints, because these constraints may point the way toward the one true theory."

"Not only are facts and theories in constant disharmony, they are never as neatly separated as everyone makes them out to be."

"Experience arises together with theoretical assumptions not before them, and an experience without theory is just as incomprehensible as is (allegedly) a theory without experience."

"How can we possibly test, or improve upon the truth of a theory if it is built in such a manner then any conceivable event can be described, and explained, in terms of its principles? The only way of investigating such all-embracing principles would be to compare them with a different set of equally all embracing principles- but this procedure has been excluded from the very beginning."

"No single theory ever agrees with all the facts in its domain."

"There may thus well exist better "scientific" evidence for a false theory, which will be accepted because it is more "scientific", than for a valid explanation, which is rejected because there is no sufficient quantitative evidence for it."

"A theory (though it may guide us in reaching them) does not produce the treasures the world holds. And the treasures themselves occasionally dazzle our attention; for we are not so wealthy that we may regard them as irrelevant. But a theory is more. It is an ordering of experience that both makes experience meaningful and is a pleasure to regard in its own right."

"Knowing the theory of anything is contrasted with know-how in all the arts...Beethoven..Michelangelo..Shakespeare, all great exponents of know-how, probably knew how to manipulate their instruments to achieve the desired results long before they knew the theory of their art. Perhaps some of them never bothered to learn the theory. On the other hand, there are many who know the theory better than these, but who lack know-how....Although we acquire the skill of understanding words by experience, so that we know the correlations between them and things, between words and other words, and between words and feelings and actions, we do not do it by inductive reasoning. Nor must we think that we do it by deductive reasoning... In the main, words are cues rather than clues."

"The final test of a theory is its capacity to solve the problems which originated it."

"A theory is the more impressive the greater the simplicity of its premises is, the more different kinds of things it relates, and the more extended its area of applicability."

"Conservatives feel instinctively that it is new ideas more than anything else that cause change. But, from its point of view rightly, conservatism fears new ideas because it has no distinctive principles of its own to oppose them; and, by its distrust of theory and its lack of imagination concerning anything except that which experience has already proved, it deprives itself of the weapons needed in the struggle of ideas. Unlike liberalism, with its fundamental belief in the long-range power of ideas, conservatism is bound by the stock of ideas inherited at a given time. And since it does not really believe in the power of argument, its last resort is generally a claim to superior wisdom, based on some self-arrogated superior quality."

"When an active individual of sound common sense perceives the sordid state of the world, desire to change it becomes the guiding principle by which he organizes given facts and shapes them into a theory. The methods and categories as well as the transformation of the theory can be understood only in connection with his taking of sides. This, in turn, discloses both his sound common sense and the character of the world. Right thinking depends as much on right willing as right willing on right thinking."

"The successful development of science requires a proper balance between the method of building up from observations and the method of deducing by pure reasoning from speculative assumptions..."

"I firmly believe people have hitherto been a great deal too much taken up about doctrine and far too little about practice. The word doctrine, as used in the Bible, means teaching of duty, not theory. I preached a sermon about this. We are far too anxious to be definite and to have finished, well-polished, sharp-edged systems — forgetting that the more perfect a theory about the infinite, the surer it is to be wrong, the more impossible it is to be right."

"Der theoretisch arbeitende Naturforscher ist nicht zu beneiden denn die Nature oder genauer gesagt: das Experiment, ist eine unerbittliche und wenig freundliche Richterin seiner Arbeit. (Theorists in science are unenviable because nature — or, more precisely, experiment — is a relentless and unfriendly judge of their theories.)"

"Things and events explain themselves, and the business of thought is to brush aside the verbal and conceptual impediments which prevent them from doing so. Start with the notion that it is you who explain the Object, and not the Object that explains itself, and you are bound to end in explaining it away. It ceases to exist, its place being taken by a parcel of concepts, a string of symbols, a form of words, and you find yourself contemplating, not the thing, but your theory of the thing."

"There is no great harm in the theorist who makes up a new theory to fit a new event. But the theorist who starts with a false theory and then sees everything as making it come true is the most dangerous enemy of human reason."

"In conclusion, a word about your tired expression that there is a difference between theory and praxis. ... Thereby you want to say that praxis should be an unencumbered as possible by theory. Coming from you, this wish is quite intelligible. What you mean by praxis is private profit; what I mean by theory is justice."

"Theory alone is of no value. Practical application of the theory is the test."

"We sometimes speak of stubborn facts. Nonsense! A fact is a mere babe when compared with a stubborn theory."

"[W]ith regard to light, that it consists of vibrations was almost proved by the phenomena of diffraction, while those of polarisation showed the excursions of the particles to be perpendicular to the line of propogation; but the phenomena of dispersion, etc., require additional hypotheses which may be very complicated. Thus, the further progress of molecular speculation appears quite uncertain. If hypotheses are to be tried haphazard, or simply because they will suit certain phenomena, it will occupy the mathematical physicists of the world say half a century on the average to bring each theory to the test, and since the number of possible theories may go up into the trillion, only one of which can be true, we have little prospect of making further solid additions to the subject in our time."

"[T]he studies preliminary to the construction of a great theory should be at least as deliberate and thorough as those that are preliminary to the building of a dwelling-house."

"During all those years of experimentation and research, I never once made a discovery. All my work was deductive, and the results I achieved were those of invention, pure and simple. I would construct a theory and work on its lines until I found it was untenable. Then it would be discarded at once and another theory evolved. This was the only possible way for me to work out the problem. … I speak without exaggeration when I say that I have constructed 3,000 different theories in connection with the electric light, each one of them reasonable and apparently likely to be true. Yet only in two cases did my experiments prove the truth of my theory. My chief difficulty was in constructing the carbon filament. . . . Every quarter of the globe was ransacked by my agents, and all sorts of the queerest materials used, until finally the shred of bamboo, now utilized by us, was settled upon."

"It is a condition which confronts us — not a theory."

"And don't all the theories of philosophy do the same, trying by the path of thought, which is strange and not natural to man, to bring him to a knowledge of what he has known long ago, and knows so certainly that he could not live at all without it? Isn't it distinctly to be seen in the development of each philosopher's theory, that he knows what is the chief significance of life beforehand, just as positively as the peasant Fyodor, and not a bit more clearly than he, and is simply trying by a dubious intellectual path to come back to what everyone knows?"

"Their ideas seemed to him fruitful when he was reading or was himself seeking arguments to refute other theories, especially those of the materialists; but as soon as he began to read or sought for himself a solution of problems, the same thing always happened. As long as he followed the fixed definition of obscure words such as spirit, will, freedom, essence, purposely letting himself go into the snare of words the philosophers set for him, he seemed to comprehend something. But he had only to forget the artificial train of reasoning, and to turn from life itself to what had satisfied him while thinking in accordance with the fixed definitions, and all this artificial edifice fell to pieces at once like a house of cards, and it became clear that the edifice had been built up out of those transposed words, apart from anything in life."