Hermann Weyl Quotes

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, beauty and perfection.

Logic is the hygiene the mathematician practices to keep his ideas healthy and strong.

Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind.

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

... numbers have neither substance, nor meaning, nor qualities. They are nothing but marks, and all that is in them we have put into them by the simple rule of straight succession.

Mathematics has the inhuman quality of starlight, brilliant and sharp, but cold.

Before one can generalize, formalize, and axiomatize, there must be a mathematical substance.

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

Our mathematics of the last few decades has wallowed in generalities and formalizations.

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

A modern mathematical proof is not very different from a modern machine, or a modern test setup: the simple fundamental principles are hidden and almost invisible under a mass of technical details.

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

My work has always tried to unite the True with the Beautiful and when I had to choose one or the other, I usually chose the Beautiful.

With mathematics we stand precisely at that intersection of bondage and freedom that is the essence of the human itself.