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"Mathematicians do not study objects, but relations between objects."
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"Need we add that mathematicians themselves are not infallible?"

"The greatest problem for mathematicians now is probably the Riemann Hypothesis."

"Mathematicians stand on each other's shoulders."

"The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure."

"Mathematics is written for mathematicians."

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

"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."

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

"All musicians are subconsciously mathematicians."
Explore more quotes by Henri Poincare

"A very small cause which escapes our notice determines a considerable effect that we cannot fail to see, and then we say that the effect is due to chance."

"It has adopted the geometry most advantageous to the species or, in other words, the most convenient."

"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."

"A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations."
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