For mathematics, even to the logical forms in which it moves, is entirely dependent on the concept of natural number. — Hermann Weyl Copy Share
Mathematics has the inhuman quality of starlight, brilliant and sharp, but cold. — Hermann Weyl Copy Share
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
“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
“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
Before you generalize, formalize, and axiomatize there must be mathematical substance. — Hermann Weyl Copy Share
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
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
“The goal of mathematics is the symbolic comprehension of the infinite with human, that is finite, means.” — Hermann Weyl Copy Share
God exists because arithmetic is consistent - the Devil exists because we can't prove it! — Hermann Weyl Copy Share
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 Copy Share
Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind. — Hermann Weyl Copy Share
Our mathematics of the last few decades has wallowed in generalities and formalizations. — Hermann Weyl Copy Share
