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OverviewLYTTON STRACHEY tells the following story. In intervals of relaxation from his art, the painter Degas used to try his hand at writing sonnets. One day, while so engaged, he found that his in spiration had run dry. In desperation he ran to his friend Mallarme, who was a poet. ""My poem won't come out,"" he said, ""and yet I'm full of excellent ideas. "" ""My dear Degas,"" Mallarme retorted, ""poetry is not written with ideas, it is written with words. "" If we seek an application of Mallarme's words to mathematics we find that we shall want to turn his paradox around. We are led to say that mathematics does not consist of formulas, it consists of ideas. What is platitudinous about this statement is that mathe matics, of course, consists of ideas. Who but the most unregenerate formalist, asserting that mathematics is a meaningless game played with symbols, would deny it? What is paradoxical about the state ment is that symbols and formulas dominate the mathematical page, and so one is naturally led to equate mathematics with its formulas. Full Product DetailsAuthor: DAVIS , CHINN , William G Chinn , Paul Davis, HaroldPublisher: Birkhauser Boston Inc Imprint: Birkhauser Boston Inc Edition: 2nd ed. 1985 Dimensions: Width: 14.00cm , Height: 1.10cm , Length: 21.60cm Weight: 0.265kg ISBN: 9780817633042ISBN 10: 0817633049 Pages: 188 Publication Date: 21 July 1987 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Out of Print Availability: Out of stock ![]() Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |