"The question for the ultimate foundations and the……" — 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."
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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…
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More Activity Quotes
This quote is filed under Activity Quotes,
one of 1,646 quotes in that category. Here are a few more:
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I don't think of poetry as a 'rational' activity but as an aural one. My poems usually begin with words…
— Margaret Atwood
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If there was the opportunity to climb a mountain, or to go ballooning, or some adventurous activity, I would always…
— Roger Bannister
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Snowboarding is an activity that is very popular with people who do not feel that regular skiing is lethal enough.
— Dave Barry
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To make an activity joyful, keep adding things until the activity as a whole becomes more appealing than repulsing.
— Martha Beck
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If you think squash is a competitive activity, try flower arranging.
— Alan Bennett
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The activity of a singer that sings opera is similar to that of an athlete.
— Andrea Bocelli
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The individual activity of one man with backbone will do more than a thousand men with a mere wishbone.
— William J. H. Boetcker
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Humor is by far the most significant activity of the human brain.
— Edward de Bono
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Reading is an activity subsequent to writing: more resigned, more civil, more intellectual.
— Jorge Luis Borges
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I'm just trying to spread the word and upturn the myth that actually you should be resting after cancer treatment.…
— Jo Brand
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Dissent is the native activity of the scientist, and it has got him into a good deal of trouble in…
— Jacob Bronowski
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Where I grew up, in Des Moines, Iowa, there is hardly any downtown economic activity now. Everybody shops in malls…
— Bill Bryson
See all 1,646 Activity Quotes »