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Quote by Emile Borel

“Any argument where one supposes an arbitrary choice to be made an uncountably infinite number of times ...[is] outside the domain of mathematics.”

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Emile Borel

Emile Borel was a prominent French politician born on January 7, 1871, and died on February 3, 1956. He was active in French politics for several decades and held several important positions. more

“The practical man demands an appearance of reality at least. Always dealing in the concrete, he regards mathematical terms not as symbols or thought but as images of reality. A system acceptable to the mathematician because of its inner consistency may appear to the practical man to be full of contradictions because of the incomplete manner in which it represents reality.”

Men May Reality Term Demand Regard Appearance Practicals Symbols Mathematical Contradiction Acceptable Concrete Mathematician Consistency Incomplete

Book:Number, the Language of Science: A Critical Survey Written for the Cultured Non-mathematician

Source: Number, the Language of Science: A Critical Survey Written for the Cultured Non-mathematician

“The importance of infinite processes for the practical exigencies of technical life can hardly be overemphasized. Practically all applications of arithmetic to geometry, mechanics, physics and even statistics involve these processes directly and indirectly.”

Process Importance Infinite Physics Practicals Statistics Application Mechanic Geometry Arithmetic

Book:Number: The Language of Science

Source: Number: The Language of Science

“We must learn a new modesty. We have stormed the heavens, but succeeded only in building fog upon fog, a mist which will not support anybody who earnestly desires to stand upon it. What is valid seems so insignificant that it may be seriously doubted whether anlaysis is at all possible.”

May Seems Desire Heaven Support Building Modesty Fog Insignificant Mist Doubted

Author:Hermann Weyl

“Is the set of all sets which are not members of themselves a member of itself?”

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Author:Bertrand Russell

Quote by Emile Borel

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