Why Is There Philosophy of Mathematics At All?

Ian Hacking

ISBN 10: 1107050170 / ISBN 13: 9781107050174

Published by Cambridge University Press, 2014

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9781107050174

Bibliographic Details

• Title: Why Is There Philosophy of Mathematics At All?
• Publisher: Cambridge University Press
• Publication Date: 2014
• Language: English
• ISBN 10: 1107050170
• ISBN 13: 9781107050174
• Binding: Buch
• Condition: Neu
• Dimensions: 235W x 157H x 23D millimeters 235 millimeters width by 157 millimeters height by 23 millimeters depth
• Weight: 653 grams

About this title

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 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).