The arithmetical symbols are written diagrams and the geometrical figures are graphic formulas.

Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of geometry.

We do not master a scientific theory until we have shelled and completely prised free its mathematical kernel.

I didn't work especially hard at mathematics at school, because I knew that's what I'd be doing later.

Mathematics is a game played according to certain simple rules with meaningless marks on paper.

Galileo was no idiot. Only an idiot could believe that science requires martyrdom - that may be necessary in religion, but in time a scientific result will establish itself.

The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.