Hermann Weyl Quotes

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

Mathematics expresses values that reflect the cosmos, including orderliness, balance, harmony, logic, and abstract beauty.

One of the most amazing things about mathematics is the people who do math aren't usually interested in application, because mathematics itself is truly a beautiful art form. It's structures and patterns, and that's what we love, and that's what we get off on.

Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform.

Among the thousand-and-one faces whereby form chooses to reveal itself to us, the one that fascinates me more than any other, and continues to fascinate me, is the structure hidden in mathematical things.

I tried reading Hilbert. Only his papers published in mathematical periodicals were available at the time. Anybody who has tried those knows they are very hard reading.

But mathematics is the sister, as well as the servant, of the arts and is touched by the same madness and genius.

Mathematics is the queen of the sciences.

The qualities of number appear to lead to the apprehension of truth.

Still more astonishing is that world of rigorous fantasy which we call mathematics.

I found in rules of mathematics a peace and a trust that I could not place in human beings. This sublimation was total and remained total.

Mathematics is not something that you find lying around in your back yard. It's produced by the human mind. Yet if we ask where mathematics works best, it is in areas like particle physics and astrophysics, areas of fundamental science that are very, very far removed from everyday affairs.

This splendid subject [mathematics], queen of all exact sciences, and the ideal and norm of all careful thinking.

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

Mathematics is good for the soul, getting things right enlivens a sense of truth, efforts to understand automatically purify desires.

Mathematics may be defined as the economy of counting. There is no problem in the whole of mathematics which cannot be solved by direct counting.

Topology and number theory are my faves.

All science requires mathematics.

... mathematics is the science of skillful operations with concepts and rules invented just for this purpose.

Number, place, and combination . . . the three intersecting but distinct spheres of thought to which all mathematical ideas admit of being referred.

The object of pure Mathematic (is) that of unfolding the laws of human intelligence.

Mathematics rightly viewed possesses not only truth but supreme beauty.

Therefore, O students, study mathematics and do not build without foundations.

If all art aspires to the condition of music, all the sciences aspire to the condition of mathematics.