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For mathematics, even to the logical forms in which it moves, is entirely dependent on the concept of natural number.
Hermann Weyl
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Hermann Weyl
Age: 70 †
Born: 1885
Born: November 9
Died: 1955
Died: December 9
Mathematician
Philosopher
Physicist
University Teacher
Elveshorn
Hermann Klaus Hugo Weyl
Even
Forms
Mathematics
Concepts
Number
Logical
Numbers
Moves
Natural
Dependent
Moving
Concept
Form
Entirely
More quotes by Hermann Weyl
We are not very pleased when we are forced to accept a mathematical truth by virtue of a complicated chain of formal conclusions and computations, which we traverse blindly, link by link, feeling our way by touch. We want first an overview of the aim and of the road we want to understand the idea of the proof, the deeper context.
Hermann Weyl
Mathematics has been called the science of the infinite. Indeed, the mathematician invents finite constructions by which questions are decided that by their very nature refer to the infinite. This is his glory.
Hermann Weyl
No mathematician of equal stature has risen from our generation... Hilbert was singularly free from national and racial prejudices in all public questions, be they political, social or spiritual, he stood forever on the side of freedom.
Hermann Weyl
In geometric and physical applications, it always turns out that a quantity is characterized not only by its tensor order, but also by symmetry.
Hermann Weyl
God exists because arithmetic is consistent - the Devil exists because we can't prove it!
Hermann Weyl
But it seems an irony of creation that man's mind knows how to handle things the better the farther removed they are from the center of his existence. Thus we are cleverest where knowledge matters least.
Hermann Weyl
Logic is the hygiene the mathematician practices to keep his ideas healthy and strong.
Hermann Weyl
You can not apply mathematics as long as words still becloud reality.
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 achievements of mathematics in the last 50 years. [Said in 1950]
Hermann Weyl
Mathematics is not the rigid and rigidity-producing schema that the layman thinks it is rather, in it we find ourselves at that meeting point of constraint and freedom that is the very essence of human nature.
Hermann Weyl