Logic is the hygiene the mathematician practices to keep his ideas healthy and strong. — 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
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
You can not apply mathematics as long as words still becloud reality. — Hermann Weyl Copy Share Image
Before you generalize, formalize, and axiomatize there must be mathematical substance. — Hermann Weyl Copy Share Image
“Two possibilities present themselves for the analytical treatment of metrical geometry.” — Hermann Weyl Copy Share Image
Before one can generalize, formalize, and axiomatize, there must be a mathematical substance. — Hermann Weyl Copy Share Image
Mathematics has the inhuman quality of starlight, brilliant and sharp, but cold. — Hermann Weyl Copy Share Image
No mathematician of equal stature has risen from our generation... Hilbert was singularly free from national and racial prejudices; in all public… — 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
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
... 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
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
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
“By refraining from reducing multiplication to addition we are enabled through these axioms to banish continuity, which is so difficult to fix… — 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
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
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
“the problem is then to develop a theory of invariance with respect to arbitrary linear transformations, in which, however, in contra-distinction to… — 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 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 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
“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
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 Greeks made Space the subject-matter of a science of supreme simplicity and certainty. Out of it grew, in the mind of… — Hermann Weyl Copy Share Image
“Now, if on the one hand it is very satisfactory to be able to give a common ground in the theory of… — Hermann Weyl Copy Share Image
Our mathematics of the last few decades has wallowed in generalities and formalizations. — 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
“We must here follow the first course so as to be able to pass on later to generalisations which extend beyond the… — 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
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
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
![“Without the concepts, methods and results found and developed by previous generations right down to Greek antiquity one cannot understand either the aims or achievements of mathematics in the last 50 years. [Said in 1950]” quote by Hermann Weyl](https://sms4smile.com/q/img-quotes/a74/hermann-weyl-16709_achievement_without-the-concepts-methods-and-results_922221.jpg)
![“Besides language and music, it [mathematics] is one of the primary manifestations of the free creative power of the human mind, and it is the universal organ for world understanding through theoretical construction. Mathematics must therefore remain an essential element of the knowledge and…” quote by Hermann Weyl](https://sms4smile.com/q/img-quotes/48e/hermann-weyl-16709_ability_besides-language-and-music-it-mathematic_2408893.png)
