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"Mathematicians are born, not made."
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"The greatest problem for mathematicians now is probably the Riemann Hypothesis."

"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."

"Mathematicians stand on each other's shoulders."

"Abel has left mathematicians enough to keep them busy for 500 years."

"Need we add that mathematicians themselves are not infallible?"

"All musicians are subconsciously mathematicians."

"Mathematicians do not study objects, but relations between objects."

"Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians."

"Mathematics is written for mathematicians."

"The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure."
Explore more quotes by Henri Poincare

"One would have to have completely forgotten the history of science so as to not remember that the desire to know nature has had the most constant and the happiest influence on the development of mathematics."

"If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living."

"Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves, has no objective existence."

"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."

"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."
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