Ability Quote by Hermann Weyl

“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 abilities which we have to teach, of the culture we have to transmit, to the next generation.”

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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Explore all 39 Hermann Weyl quotes

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