"Mathematics is not the rigid and rigidity-producing schema……" — 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."
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Hermann Weyl
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21 Quotes by Hermann Weyl
Hermann Weyl has 21 quotes on this site.
A few more worth reading:
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Before you generalize, formalize, and axiomatize there must be mathematical substance.
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Besides language and music, it [mathematics] is one of the primary manifestations of the free creative power of the human…
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You can not apply mathematics as long as words still becloud reality.
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Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind.
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Logic is the hygiene the mathematician practices to keep his ideas healthy and strong.
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One may say that mathematics talks about the things which are of no concern to men. Mathematics has the inhuman…
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Without the concepts, methods and results found and developed by previous generations right down to Greek antiquity one cannot understand…
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We are not very pleased when we are forced to accept a mathematical truth by virtue of a complicated chain…
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Mathematics has the inhuman quality of starlight, brilliant and sharp, but cold.
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It is impossible to discuss realism in logic without drawing in the empirical sciences... A truly realistic mathematics should be…
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A modern mathematical proof is not very different from a modern machine, or a modern test setup: the simple fundamental…
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... numbers have neither substance, nor meaning, nor qualities. They are nothing but marks, and all that is in them…
See all 21 quotes by Hermann Weyl »
More Constraint Quotes
This quote is filed under Constraint Quotes,
one of 71 quotes in that category. Here are a few more:
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Today, many companies are reporting that their number one constraint on growth is the inability to hire workers with the…
— William J. Clinton
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A social fact is every way of acting, fixed or not, capable of exercising on the individual an external constraint;…
— Emile Durkheim
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We must destroy all which in the present school answers to the organization of constraint, the artificial surroundings by which…
— Francesc Ferrer i Guardia
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Freedom is not being a slave to any circumstance, to any constraint, to any chance; it means compelling Fortune to…
— Seneca the Younger
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A wife loves out of duty, and duty leads to constraint, and constraint kills desire.
— Jean Giraudoux
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An artist is an explorer. He has to begin by self-discovery and by observation of his own procedure. After that…
— Henri Matisse
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Art lives on constraint and dies of freedom.
— Michelangelo
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An artist must not feel under any constraint.
— Henri Matisse
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Experience, the interpreter between creative nature and the human race, teaches the action of nature among mortals: how under the…
— Leonardo da Vinci
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Freedom and constraint are two aspects of the same necessity, which is to be what one is and no other.
— Antoine de Saint-Exupery
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The most important feature of the Chess position is the activity of the pieces. This is absolutely fundamental in all…
— Michael Stean
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Creativity comes from constraint.
— Biz Stone
See all 71 Constraint Quotes »