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… — 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… — Hermann Weyl Copy Share Image
Before you generalize, formalize, and axiomatize there must be mathematical substance. — 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… — 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
Without the concepts, methods and results found and developed by previous generations right down to Greek antiquity one cannot understand either the… — Hermann Weyl Copy Share Image
Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind. — Hermann Weyl Copy Share Image
Our mathematics of the last few decades has wallowed in generalities and formalizations. — Hermann Weyl Copy Share Image
One may say that mathematics talks about the things which are of no concern to men. Mathematics has the inhuman quality of… — Hermann Weyl Copy Share Image
Mathematics is not the rigid and rigidity-producing schema that the layman thinks it is; rather, in it we find ourselves at that… — Hermann Weyl Copy Share Image
Logic is the hygiene the mathematician practices to keep his ideas healthy and strong. — 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
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
The question for the ultimate foundations and the ultimate meaning of mathematics remains open; we do not know in which direction it… — Hermann Weyl Copy Share Image
Besides language and music, it [mathematics] is one of the primary manifestations of the free creative power of the human mind, and… — 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
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
Mathematics has been called the science of the infinite. Indeed, the mathematician invents finite constructions by which questions are decided that by… — Hermann Weyl Copy Share Image
Before one can generalize, formalize, and axiomatize, there must be a mathematical substance. — Hermann Weyl Copy Share Image
It is impossible to discuss realism in logic without drawing in the empirical sciences... A truly realistic mathematics should be conceived, in… — 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