The introduction of numbers as coordinates by reference to the particular division scheme of the open one-dimensional continuum is an act of violence…

- Hermann Weyl

You can not apply mathematics as long as words still becloud reality.

- Hermann Weyl

Symmetry, as wide or as narrow as you may define its meaning, is one idea by which man through the ages has tried to comprehend and create order, bea…

- Hermann Weyl

Not only in geometry, but to a still more astonishing degree in physics, has it become more and more evident that as soon as we have succeeded in unr…

- Hermann Weyl

Mathematics is not the rigid and rigidity-producing schema that the layman thinks it is; rather, in it we find ourselves at that meeting point of con…

- Hermann Weyl

In geometric and physical applications, it always turns out that a quantity is characterized not only by its tensor order, but also by symmetry.

- Hermann Weyl

Mathematics has been called the science of the infinite. Indeed, the mathematician invents finite constructions by which questions are decided that b…

- Hermann Weyl

God exists because arithmetic is consistent - the Devil exists because we can't prove it!

- Hermann Weyl

A modern mathematical proof is not very different from a modern machine, or a modern test setup: the simple fundamental principles are hidden and alm…

- Hermann Weyl