Activity Quote by Hermann Weyl

“The question for the ultimate foundations and the ultimate meaning of mathematics remains open; we do not know in which direction it will find its final solution nor even whether a final objective answer can be expected at all. "Mathematizing" may well be a creative activity of man, like language or music, of primary originality, whose historical decisions defy complete objective rationalization.”

Hermann Weyl

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More by Hermann Weyl

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

Hermann Weyl

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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

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“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

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“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

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

Hermann Weyl

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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

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

Hermann Weyl

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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

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

Hermann Weyl

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

Hermann Weyl

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

Hermann Weyl

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