Henri Poincare Mathematics Quotations

If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.

Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered.

How is error possible in mathematics?

It is the simple hypotheses of which one must be most wary; because these are the ones that have the most chances of passing unnoticed.

One geometry cannot be more true than another; it can only be more convenient.

It is by logic that we prove, but by intuition that we discover. To know how to criticize is good, to know how to create is better.

All of mathematics is a tale about groups.