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Pure logic could never lead us to anything but tautologies it can create nothing new not from it alone can any science issue.

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
Pure
Issues
Create
Alone
Tautology
Science
Logic
Anything
Issue
Nothing
Scientist
Never
Lead

More quotes by Henri Poincare

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Mathematical discoveries, small or great are never born of spontaneous generation.
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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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Les faits ne parlent pas. Facts do not speak.
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Mathematicians do not deal in objects, but in relations between objects thus, they are free to replace some objects by others so long as the relations remain unchanged. Content to them is irrelevant: they are interested in form only.
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The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law. They reveal the kinship between other facts, long known, but wrongly believed to be strangers to one another.
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If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.
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How is error possible in mathematics?
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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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What is a good definition? For the philosopher or the scientist, it is a definition which applies to all the objects to be defined, and applies only to them it is that which satisfies the rules of logic. But in education it is not that it is one that can be understood by the pupils.
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Why is it that showers and even storms seem to come by chance, so that many people think it quite natural to pray for rain or fine weather, though they would consider it ridiculous to ask for an eclipse by prayer.
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We also know how cruel the truth often is, and we wonder whether delusion is not more consoling.
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Tolstoi explains somewhere in his writings why, in his opinion, “Science for Science's sake” is an absurd conception. We cannot know all the facts, since they are practically infinite in number. We must make a selection. Is it not better to be guided by utility, by our practical, and more especially our moral, necessities?
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Point set topology is a disease from which the human race will soon recover.
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One geometry cannot be more true than another it can only be more convenient.
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Thought is only a flash between two long nights, but this flash is everything.
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In the old days when people invented a new function they had something useful in mind.
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Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means.
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If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living
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Geometry is the art of correct reasoning from incorrectly drawn figures.
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All of mathematics is a tale about groups.
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