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Quotes by Mathematician
"The nervous system and the automatic machine are fundamentally alike in that they are devices, which make decisions on the basis of decisions they made in the past."
"The more we get out of the world the less we leave, and in the long run we shall have to pay our debts at a time that may be very inconvenient for our own survival."
"Progress imposes not only new possibilities for the future but new restrictions."
"The idea that information can be stored in a changing world without an overwhelming depreciation of its value is false. It is scarcely less false than the more plausible claim that after a war we may take our existing weapons, fill their barrels with information."
"Art is the imposing of a pattern on experience, and our aesthetic enjoyment is recognition of the pattern."
"But you can catch yourself entertaining habitually certain ideas and setting others aside; and that, I think, is where our personal destinies are largely decided."
"Civilization advances by extending the number of important operations which we can perform without thinking of them."
"Common sense is genius in homespun."
"In formal logic, a contradiction is the signal of defeat, but in the evolution of real knowledge it marks the first step in progress toward a victory."
"Intelligence is quickness to apprehend as distinct form ability, which is capacity to act wisely on the thing apprehended."
"It requires a very unusual mind to undertake the analysis of the obvious."
"It takes an extraordinary intelligence to contemplate the obvious."
"Knowledge shrinks as wisdom grows."
"It is in literature that the concrete outlook of humanity receives its expression."
"Without adventure civilization is in full decay."
"The art of progress is to preserve order amid change and to preserve change amid order."
"The deepest definition of youth is life as yet untouched by tragedy."
"Religion is the last refuge of human savagery."
"The guiding motto in the life of every natural philosopher should be, seek simplicity and distrust it."
"The safest general characterization of the European philosophical tradition is that it consists of a series of footnotes to Plato."
"The silly question is the first intimation of some totally new development."
"The absolute pacifist is a bad citizen; times come when force must be used to uphold right, justice and ideals."
"Speech is human nature itself, with none of the artificiality of written language."
"The task of a university is the creation of the future, so far as rational thought and civilized modes of appreciation can affect the issue."
"Simple solutions seldom are. It takes a very unusual mind to undertake analysis of the obvious."
"Speak out in acts; the time for words has passed, and only deeds will suffice."
"Philosophy is the product of wonder."
"Philosophy begins in wonder. And, at the end, when philosophic thought has done its best, the wonder remains."
"Periods of tranquility are seldom prolific of creative achievement. Mankind has to be stirred up."
"Our minds are finite, and yet even in these circumstances of finitude we are surrounded by possibilities that are infinite, and the purpose of life is to grasp as much as we can out of that infinitude."
"The total absence of humor from the Bible is one of the most singular things in all literature."
"We think in generalities, but we live in detail."
"There are no whole truths: all truths are half-truths. It is trying to treat them as whole truths that plays to the devil."
"The vitality of thought is in adventure. Ideas won't keep. Something must be done about them. When the idea is new, its custodians have fervor, live for it, and if need be, die for it."
"True courage is not the brutal force of vulgar heroes, but the firm resolve of virtue and reason."
"Wisdom alone is true ambition's aim, wisdom is the source of virtue and of fame; obtained with labour, for mankind employed, and then, when most you share it, best enjoyed."
"What is morality in any given time or place? It is what the majority then and there happen to like and immorality is what they dislike."
"Not ignorance, but ignorance of ignorance, is the death of knowledge."
"Seek simplicity but distrust it."
"It is the business of the future to be dangerous; and it is among the merits of science that it equips the future for its duties."
"No one who achieves success does so without acknowledging the help of others. The wise and confident acknowledge this help with gratitude."
"No period of history has ever been great or ever can be that does not act on some sort of high, idealistic motives, and idealism in our time has been shoved aside, and we are paying the penalty for it."
"Ideas won't keep; something must be done about them."
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"Everything of importance has been said before by somebody who did not discover it."
"Life is an offensive, directed against the repetitious mechanism of the Universe."
"Familiar things happen, and mankind does not bother about them. It requires a very unusual mind to undertake the analysis of the obvious."
"Fools act on imagination without knowledge, pedants act on knowledge without imagination."
"Fundamental progress has to do with the reinterpretation of basic ideas."
"Human life is driven forward by its dim apprehension of notions too general for its existing language."
"I have always noticed that deeply and truly religious persons are fond of a joke, and I am suspicious of those who aren't."
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