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Chargement... Mathematics: Form and Functionpar Saunders MacLane
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This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been encouraged by lec tures that I have given at Heidelberg under the auspices of the Alexander von Humboldt Stiftung, at the University of Chicago, and at the University of Minnesota, the latter under the auspices of the Institute for Mathematics and Its Applications. Jean Benabou has carefully read the entire manuscript and has offered incisive comments. George Glauberman, Car los Kenig, Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided similar comments on chosen chapters. Fred Linton has pointed out places requiring a more exact choice of wording. Many conversations with George Mackey have given me important insights on the nature of Mathematics. I have had similar help from Alfred Aeppli, John Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon. Over the years, I have profited from discussions of general issues with my colleagues Felix Browder and Melvin Rothenberg. Ideas from Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have assisted in my study of geometry. Jerry Bona and B. L. Foster have helped with my examina tion of mechanics. My observations about logic have been subject to con structive scrutiny by Gert Miiller, Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin. Aucune description trouvée dans une bibliothèque |
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Google Books — Chargement... GenresClassification décimale de Melvil (CDD)510Natural sciences and mathematics Mathematics General MathematicsClassification de la Bibliothèque du CongrèsÉvaluationMoyenne:
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That final question goes a lot deeper than some would think. It ties itself right into epistemology, and how we know things that we know. At the same time, it covers a great deal of mathematical ideas. Starting at counting it goes into Peano axioms and other things. It structures itself differently from other books that survey mathematics in that it seems to organize the information by subject rather than chronologically.
At the end of the book, Mac Lane answers the questions he put forth in the introduction of the book. All in all it was a satisfying and interesting read. ( )