Why Is There Philosophy of Mathematics At All? - Softcover

Hacking, Ian

Softcover

ISBN 10: 1107658152 ISBN 13: 9781107658158

Publisher: Cambridge University Press, 2014

Synopsis

This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.

About this title

Book Description

Ian Hacking draws on cognitive sciences, evolutionary psychology, neurology, developmental psychology, and cognitive archaeology (tools and the mind) to explore how mathematics became possible, for a species like ours, on a planet like this. An innovative book for those studying logic, theory of knowledge, and philosophy of science.

About the Author

Ian Hacking is a retired professor of Collège de France, Chair of Philosophy and History of Scientific Concepts, and retired University Professor of Philosophy at the University of Toronto. His most recent books include The Social Construction of What? (1999), An Introduction to Probability and Inductive Logic (Cambridge University Press, 2001), The Emergence of Probability (Cambridge University Press, 2006), Scientific Reason (2009) and Exercises in Analysis (Cambridge University Press, 2009).

Edition details

• Publisher: Cambridge University Press
• Publication date: 2014
• ISBN 10: 1107658152
• ISBN 13: 9781107658158
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 304