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"Need we add that mathematicians themselves are not infallible?"
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"Need we add that mathematicians themselves are not infallible?"
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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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"The greatest problem for mathematicians now is probably the Riemann Hypothesis."
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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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"All musicians are subconsciously mathematicians."
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"Abel has left mathematicians enough to keep them busy for 500 years."
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"The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure."
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"Mathematics is written for 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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"What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?"
Elegance
"In the old days when people invented a new function they had something useful in mind."
People
"A small error in the former will produce an enormous error in the latter."
Error
"It has adopted the geometry most advantageous to the species or, in other words, the most convenient."
Geometry
"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."
Law
"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
"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
"The mind uses its faculty for creativity only when experience forces it to do so."
Experience
"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
"Science is facts."
Science
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