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"Need we add that mathematicians themselves are not infallible?"
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"Mathematics is written for mathematicians."
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"Mathematicians do not study objects, but relations between objects."
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"Mathematicians stand on each other's shoulders."
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"The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure."
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"Abel has left mathematicians enough to keep them busy for 500 years."
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"Need we add that mathematicians themselves are not infallible?"
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"All musicians are subconsciously mathematicians."
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"Mathematicians are born, not made."
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"The greatest problem for mathematicians now is probably the Riemann Hypothesis."
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"As I say, there was this movement to try to bring philosophers and mathematicians together into an organization where they would talk to each other. An organization wasn't effective unless you had a journal. That's about all I know."
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"It has adopted the geometry most advantageous to the species or, in other words, the most convenient."
Geometry
"Mathematics is the art of giving the same name to different things."
Art
"A small error in the former will produce an enormous error in the latter."
Error
"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."
Nature
"If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living."
Life
"Invention consists in avoiding the constructing of useless contraptions and in constructing the useful combinations which are in infinite minority."
Infinite
"The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful."
Nature
"A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations."
Mind
"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."
Knowledge
"If one looks at the different problems of the integral calculus which arise naturally when one wishes to go deep into the different parts of physics, it is impossible not to be struck by the analogies existing."
Deep
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