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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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"The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure."
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"Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians."
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"Mathematics is written for mathematicians."
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"Abel has left mathematicians enough to keep them busy for 500 years."
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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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"All musicians are subconsciously mathematicians."
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"Mathematicians stand on each other's shoulders."
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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?"
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Explore more quotes by Henri Poincare

"How is an error possible in mathematics?"
Error

"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

"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 small error in the former will produce an enormous error in the latter."
Error

"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

"Facts do not speak."
Fact

"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."
History

"Point set topology is a disease from which the human race will soon recover."
Disease

"Thought is only a flash between two long nights, but this flash is everything."
Thought

"What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?"
Elegance
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