The question for the ultimate foundations and the ultimate meaning of mathematics remains open; we do not know in which direction it will find its final solution nor even whether a final objective answer can be expected at all. "Mathematizing"… — 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
