Introducing Philosophy of Mathematics

Michele Friend

$75.99

Hardback

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English

Acumen Publishing
21 February 2007

Philosophy; Philosophy of mathematics

What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual accessibility and correct representation of the issues. Friend examines the standard theories of mathematics - Platonism, realism, logicism, formalism, constructivism and structuralism - as well as some less standard theories such as psychologism, fictionalism and Meinongian philosophy of mathematics. In each case Friend explains what characterises the position and where the divisions between them lie, including some of the arguments in favour and against each. This book also explores particular questions that occupy present-day philosophers and mathematicians such as the problem of infinity, mathematical intuition and the relationship, if any, between the philosophy of mathematics and the practice of mathematics. Taking in the canonical ideas of Aristotle, Kant, Frege and Whitehead and Russell as well as the challenging and innovative work of recent philosophers like Benacerraf, Hellman, Maddy and Shapiro, Friend provides a balanced and accessible introduction suitable for upper-level undergraduate courses and the non-specialist.

By: Michele Friend
Imprint: Acumen Publishing
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm, Spine: 17mm
Weight: 340g
ISBN: 9781844650613
ISBN 10: 1844650618
Publication Date: 21 February 2007
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Hardback
Publisher's Status: Active

Acknowledgements Introduction 1. Infinity 2. Platonism and realism 3. Logicism 4. Structuralism 5. Constructivism 6. A pot-pourri of philosophies of mathematics Conclusion Appendix Notes Further reading Index

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Introducing Philosophy of Mathematics

Michele Friend

$75.99

Hardback

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