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Doubting everything and believing everything are two equally convenient solutions that guard us from having to think

Henri Poincare

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Henri Poincare
Age: 58 †
Born: 1854
Born: April 29
Died: 1912
Died: July 17
Astronomer
Engineer
Mathematician
Philosopher
Philosopher Of Science
Physicist
Researcher
Topologist
University Teacher
Le Cateau
Jules Henri Poincaré
Poincaré
Henri Poincare
Jules Henri Poincare
Poincare
Thinking
Equally
Solutions
Doubt
Spiritual
Two
Doubting
Everything
Convenient
Believe
Guard
Think
Believing

More quotes by Henri Poincare

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A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist his pleasure is as great and of the same nature.
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Experiment is the sole source of truth. It alone can teach us something new it alone can give us certainty.
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Zero is the number of objects that satisfy a condition that is never satisfied. But as never means in no case, I do not see that any progress has been made.
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It is through science that we prove, but through intuition that we discover.
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It may happen that small differences in the initial conditions produce very great ones in the final phenomena.
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Intuition is more important to discovery than logic.
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Mathematics has a threefold purpose. It must provide an instrument for the study of nature. But this is not all: it has a philosophical purpose, and, I daresay, an aesthetic purpose.
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When the physicists ask us for the solution of a problem, it is not drudgery that they impose on us, on the contrary, it is us who owe them thanks.
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When the logician has resolved each demonstration into a host of elementary operations, all of them correct, he will not yet be in possession of the whole reality, that indefinable something that constitutes the unity ... Now pure logic cannot give us this view of the whole it is to intuition that we must look for it.
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Thought is only a flash between two long nights, but this flash is everything.
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Mathematicians do not study objects, but relations among objects they are indifferent to the replacement of objects by others as long the relations don't change. Matter is not important, only form interests them.
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Mathematical discoveries, small or great are never born of spontaneous generation They always presuppose a soil seeded with preliminary knowledge and well prepared by labour, both conscious and subconscious.
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In the old days when people invented a new function they had something useful in mind. Now, they invent them deliberately just to invalidate our ancestors' reasoning, and that is all they are ever going to get out of them.
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Mathematicians are born, not made.
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One geometry cannot be more true than another it can only be more convenient.
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It is far better to foresee even without certainty than not to foresee at all.
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Les faits ne parlent pas. Facts do not speak.
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Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered.
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Logic sometimes makes monsters. For half a century we have seen a mass of bizarre functions which appear to be forced to resemble as little as possible honest functions which serve some purpose.
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Every good mathematician should also be a good chess player and vice versa.
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