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"Mathematicians do not study objects, but relations between objects."
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"Mathematicians stand on each other's shoulders."
"The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure."
"Abel has left mathematicians enough to keep them busy for 500 years."
"All musicians are subconsciously mathematicians."
"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."
"Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians."
"Need we add that mathematicians themselves are not infallible?"
"Mathematics is written for mathematicians."
Explore more quotes by Henri Poincare
"It has adopted the geometry most advantageous to the species or, in other words, the most convenient."
"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."
"If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living."
"Invention consists in avoiding the constructing of useless contraptions and in constructing the useful combinations which are in infinite minority."
"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."
"A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations."
"If that enabled us to predict the succeeding situation with the same approximation, that is all we require, and we should say that the phenomenon had been predicted, that it is governed by the laws."
"It is the harmony of the diverse parts, their symmetry, their happy balance; in a word it is all that introduces order, all that gives unity, that permits us to see clearly and to comprehend at once both the ensemble and the details."
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