Although the prime numbers are rigidly determined, they somehow feel like experimental data.

— Timothy Gowers

The most fulfilling Timothy Gowers quotes that will activate your inner potential

A typical mathematician does not actively try to be useful.

Individual mathematicians are motivated primarily by a subtle mixture of ambition and intellectual curiosity, and not by a wish to benefit society, nevertheless, mathematics as a whole does benefit society.

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It is obvious that mathematics needs both sorts of mathematicians, theory-builders and problem-solvers.

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... the atlas is a manifold. This is a typical mathematician's use of the word "is", and should not be confused with the normal use.

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Moreover, if one selects a problem, works on it in isolation for a few years and finally solves it, there is a danger, unless the problem is very famous, that it will no longer be regarded as all that significant.

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What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such as the principle of mathematical induction. The validity of these premises is an entirely independent matter which can safely be left to philosophers.

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Here is something Category-Theorists like: it is trivial, but not trivially trivial.

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This attitude [the abstract method in mathematics] can be encapsulated in the following slogan: a mathematical object is what it does.

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