Hermann Weyl Short Quotes

19 Sourced Quotes

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Seldom is asymmetry merely the absence of symmetry...

Hermann Weyl
Consciousness spreads out its web, in the form of time, over reality.

Hermann Weyl
It is the function of mathematics to be at the service of the natural sciences.

Hermann Weyl
As far as I can see, all a priori statements in physics have their origin in symmetry.

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

Hermann Weyl
The rapid development of science... has, as it were, burst its old shell, now become too narrow.

Hermann Weyl
The truth as we see it today is this: The laws of nature do not determine uniquely the one world that actually exists.

Hermann Weyl
Nowhere do mathematics, natural sciences, and philosophy permeate one another so intimately as in the problem of space.

Hermann Weyl
In these days the angel of topology and the devil of abstract algebra fight for the soul of each individual mathematical domain.

Hermann Weyl
Mathematics is the science of the infinite, its goal the symbolic comprehension of the infinite with human, that is finite, means.

Hermann Weyl
You should not expect me to describe the mathematical way of thinking much more clearly than one can describe, say, the democratic way of life.

Hermann Weyl
Science would perish without the continuous interplay between its facts and constructions on the one hand and the imagery of ideas on the other.

Hermann Weyl
Only he who knows what mathematics is, and what its function in our present civilization, can give sound advice for the improvement of our mathematical teaching.

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, beauty and perfection.

Hermann Weyl
Mathematizing may well be a creative activity of man, like language or music, of primary originality, whose historical decisions defy complete objective rationalizations.

Hermann Weyl
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.

Hermann Weyl
A picture of reality drawn in a few sharp lines cannot be expected to be adequate to the variety of all its shades. Yet even so the draftsman must have the courage to draw the lines firm.

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 almost invisible under a mass of technical details.

Hermann Weyl
Symmetry is a vast subject, significant in art and nature. Mathematics lies at its root, and it would be hard to find a better one on which to demonstrate the working of the mathematical intellect.

Hermann Weyl