Logic is the hygiene the mathematician practices to keep his ideas healthy and strong. — Hermann Weyl Copy Share Image
Before you generalize, formalize, and axiomatize there must be mathematical substance. — Hermann Weyl Copy Share Image
We are not very pleased when we are forced to accept a mathematical truth by virtue of a complicated chain of formal… — Hermann Weyl Copy Share Image
Not only in geometry, but to a still more astonishing degree in physics, has it become more and more evident that as… — Hermann Weyl Copy Share Image
Our federal income tax law defines the tax y to be paid in terms of the income x; it does so in… — Hermann Weyl Copy Share Image
... numbers have neither substance, nor meaning, nor qualities. They are nothing but marks, and all that is in them we have… — Hermann Weyl Copy Share Image
Before one can generalize, formalize, and axiomatize, there must be a mathematical substance. — Hermann Weyl Copy Share Image
A modern mathematical proof is not very different from a modern machine, or a modern test setup: the simple fundamental principles are… — Hermann Weyl Copy Share Image
The constructs of the mathematical mind are at the same time free and necessary. The individual mathematician feels free to define his… — Hermann Weyl Copy Share Image
For mathematics, even to the logical forms in which it moves, is entirely dependent on the concept of natural number. — Hermann Weyl Copy Share Image
Mathematics has the inhuman quality of starlight, brilliant and sharp, but cold. — Hermann Weyl Copy Share Image
The introduction of numbers as coordinates by reference to the particular division scheme of the open one-dimensional continuum is an act of violence whose… — Hermann Weyl Copy Share Image
“Our generation is witness to a development of physical knowledge such as has not been seen since the days of Kepler, Galileo and Newton,… — Hermann Weyl Copy Share Image
“the problem is then to develop a theory of invariance with respect to arbitrary linear transformations, in which, however, in contra-distinction to the case… — Hermann Weyl Copy Share Image
Before you generalize, formalize, and axiomatize there must be mathematical substance. — Hermann Weyl Copy Share Image
The whole is always more, is more capable of a much greater variety of wave states, than the combination of its parts. ... In… — Hermann Weyl Copy Share Image
You can not apply mathematics as long as words still becloud reality. — Hermann Weyl Copy Share Image
Not only in geometry, but to a still more astonishing degree in physics, has it become more and more evident that as soon as… — Hermann Weyl Copy Share Image
“The goal of mathematics is the symbolic comprehension of the infinite with human, that is finite, means.” — Hermann Weyl Copy Share Image
God exists because arithmetic is consistent - the Devil exists because we can't prove it! — Hermann Weyl Copy Share Image
