Clear Quote by L. E. J. Brouwer

For mathematics, even to the logical forms in which it moves, is entirely dependent on the concept of natural number.

— Hermann Weyl

A thing is obvious mathematically after you see it.

— Robert Daniel Carmichael

Mathematics consists in proving the most obvious thing in the least obvious way.

— George Polya

The mathematical phenomenon always develops out of simple arithmetic, so useful in everyday life, out of numbers, those weapons of the gods: the gods…

— Le Corbusier

The enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and there is no rational explanation of it.

— Eugene Wigner

I think some intuition leaks out in every step of an induction proof.

— Jim Propp

Arithmetic has a very great and elevating effect, compelling the soul to reason about abstract number, and rebelling against the introduction of visible or…

— Plato

It is strange that we know so little about the properties of numbers. They are our handiwork, yet they baffle us; we can fathom…

— James R Newman

I love the idea of numerology, but I don't really believe in it. But I like thinking about what numbers convey.

— Aimee Bender

I believe that proving is not a natural activity for mathematicians.

— Rene Thom

Another characteristic of mathematical thought is that it can have no success where it cannot generalize.

— Charles Sanders Peirce

A good theory explains a lot but postulates little.

— Richard Dawkins