Philosophies of Mathematics by Alexander L George

Philosophies of Mathematics by Alexander L George

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Résumé

During the 1920s and 30s philosophers and mathematicians attempted to clarify the nature of mathematics, their legacy consists of three programs. This text aims to provide an introduction to these programs by describing and investigating their philosophical and mathematical components.

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Philosophies of Mathematics by Alexander L George

This book provides an accessible, critical introduction to the three main approaches that dominated work in the philosophy of mathematics during the twentieth century: logicism, intuitionism and formalism.
"George and Velleman manage to accomplish a difficult feat: on the one hand, they explain, clearly and rigorously, a number of highly technical accomplishments of twentieth-century mathematical logic, making plain the relevance of the mathematical work for philosophy; yet, on the other, they presuppose little more from their readers than a first course in basic logicThe examples they choose to explicate their points are carefully selected and illuminating. This is a splendid book." William Ewald, University of Pennsylvania

"This book includes just the right mix of helpful historical exposition and clear, tight philosophical argument. It is extremely well written and does an excellent job of making difficult material accessible. There is nothing else currently available that discusses in a single volume such a wide range of important material. The authors are to be commended for a job well done." Andrew Irvine, University of British Columbia

"This is a well-written, informative and innovative introduction to philosophies of mathematics. It is a very valuable addition to the existing literature." Wilfried Sieg, Carnegie Mellon University


Alexander George is Associate Professor of Philosophy at Amherst College. He is editor of Reflections on Chomsky (1989) Western State Terrorism (1991) and Mathematics and Mind (1994).

Daniel J. Velleman is Professor of Mathematics at Amherst College. He is author of How to Prove It: A Structured Approach (1994) and co-author of Which Way Did the Bicycle Go? And Other Intriguing Mathematical Mysteries (with Joseph Konhauser and Stan Wagon, 1996).

SKU Non disponible
ISBN 13 9780631195443
ISBN 10 0631195440
Titre Philosophies of Mathematics
Auteur Alexander L George
État Non disponible
Type de reliure Paperback
Éditeur John Wiley and Sons Ltd
Année de publication 2001-11-09
Nombre de pages 256
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible