Or, we may use Cartesian co-ordinate systems from the…

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

— Hermann Weyl

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

— Hermann Weyl

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

“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

“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

Before you generalize, formalize, and axiomatize there must be mathematical substance.

— Hermann Weyl

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

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

— Hermann Weyl

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

The introduction of numbers as coordinates is an act of violence.

— Hermann Weyl

“The goal of mathematics is the symbolic comprehension of the infinite with human, that is finite, means.”

— Hermann Weyl

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

— Hermann Weyl

Without the concepts, methods and results found and developed by previous generations right down to Greek antiquity one cannot understand either the aims or…

— Hermann Weyl

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

— Hermann Weyl

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

— Hermann Weyl