An Introduction to the Philosophy of Mathematics

Nonfiction, Science & Nature, Science, Other Sciences, Philosophy & Social Aspects, Mathematics, Religion & Spirituality, Philosophy
Cover of the book An Introduction to the Philosophy of Mathematics by Mark Colyvan, Cambridge University Press
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Author: Mark Colyvan ISBN: 9781139411189
Publisher: Cambridge University Press Publication: June 14, 2012
Imprint: Cambridge University Press Language: English
Author: Mark Colyvan
ISBN: 9781139411189
Publisher: Cambridge University Press
Publication: June 14, 2012
Imprint: Cambridge University Press
Language: English

This introduction to the philosophy of mathematics focuses on contemporary debates in an important and central area of philosophy. The reader is taken on a fascinating and entertaining journey through some intriguing mathematical and philosophical territory, including such topics as the realism/anti-realism debate in mathematics, mathematical explanation, the limits of mathematics, the significance of mathematical notation, inconsistent mathematics and the applications of mathematics. Each chapter has a number of discussion questions and recommended further reading from both the contemporary literature and older sources. Very little mathematical background is assumed and all of the mathematics encountered is clearly introduced and explained using a wide variety of examples. The book is suitable for an undergraduate course in philosophy of mathematics and, more widely, for anyone interested in philosophy and mathematics.

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This introduction to the philosophy of mathematics focuses on contemporary debates in an important and central area of philosophy. The reader is taken on a fascinating and entertaining journey through some intriguing mathematical and philosophical territory, including such topics as the realism/anti-realism debate in mathematics, mathematical explanation, the limits of mathematics, the significance of mathematical notation, inconsistent mathematics and the applications of mathematics. Each chapter has a number of discussion questions and recommended further reading from both the contemporary literature and older sources. Very little mathematical background is assumed and all of the mathematics encountered is clearly introduced and explained using a wide variety of examples. The book is suitable for an undergraduate course in philosophy of mathematics and, more widely, for anyone interested in philosophy and mathematics.

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