Timothy Gowers Quotes

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

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

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

... 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.

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