"It is impossible to discuss realism in logic……" — Hermann Weyl
"It is impossible to discuss realism in logic without drawing in the empirical sciences... A truly realistic mathematics should be conceived, in line with physics, as a branch of the theoretical construction of the one real world and should adopt the same sober and cautious attitude toward hypothetic extensions of its foundation as is exhibited by physics."
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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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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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Our federal income tax law defines the tax y to be paid in terms of the income x; it does…
See all 21 quotes by Hermann Weyl »
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