Philosophies of Mathematics - Softcover

Alexander George; Daniel J. Velleman

Softcover

ISBN 10: 0631195440 ISBN 13: 9780631195443

Publisher: John Wiley & Sons, 2001

Synopsis

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.

About this title

From the Back Cover:

During the first few decades of the twentieth century, philosophers and mathematicians mounted a sustained effort to clarify the nature of mathematics. This led to considerable discord, even enmity, and yielded fascinating and fruitful work of both a mathematical and a philosophical nature. It was one of the most exhilarating intellectual adventures of the century, pursued at an extraordinarily high level of acuity and imagination. Its legacy principally consists of three original and finely articulated programs that seek to view mathematics in the proper light: logicism, intuitionism, and finitism. Each is notable for its symbiotic melding together of philosophical vision and mathematical work: the philosophical ideas are given their substance by specific mathematical developments, which are in turn given their point by philosophical reflection.

This book provides an accessible, critical introduction to these three projects as it describes and investigates both their philosophical and their mathematical components.

Solutions manual is available upon request.

About the Author:

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).

About this edition

• Publisher: John Wiley & Sons
• Publication date: 2001
• ISBN 10: 0631195440
• ISBN 13: 9780631195443
• Binding: Paperback
• Edition number: 1
• Number of pages: 244