Set Theory and Its Philosophy: A Critical Introduction

Set Theory and Its Philosophy: A Critical Introduction

by Michael Potter
ISBN-10:
0199270414
ISBN-13:
9780199270415
Pub. Date:
04/15/2004
Publisher:
Oxford University Press, USA

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Overview

Set Theory and Its Philosophy: A Critical Introduction

Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.

Product Details

ISBN-13: 9780199270415
Publisher: Oxford University Press, USA
Publication date: 04/15/2004
Edition description: New Edition
Pages: 360
Product dimensions: 9.20(w) x 6.10(h) x 0.80(d)

About the Author

Michael Potter is University Lecturer in Philosophy, and Fellow of Fitzwilliam College, at Cambridge. He is the author of Sets (1990), on which the present work draws but which was written for a more specialist readership, and Reason's Nearest Kin (2000).

Table of Contents

I. Sets
1. Logic
2. Collections
3. The hierarchy
4. The theory of sets
5. Classes
II. Numbers
6. Arithmetic
7. Counting
8. Lines
9. Real numbers
III. Cardinals and Ordinals
10. Cardinals
11. Basic cardinal arithmetic
12. Ordinals
13. Ordinal aritmetic
IV. Further axioms
14. Orders of infinity
15. The axiom of choice
16. Further cardinal arithmetic

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