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ISBN: 9780199270415

Über dieses Produkt

Product Identifiers

Publisher

Oxford University Press, Incorporated

ISBN-10

0199270414

ISBN-13

9780199270415

eBay Product ID (ePID)

30220991

Product Key Features

Number of Pages

360 Pages

Publication Name

Set Theory and Its Philosophy : a Critical Introduction

Language

English

Subject

Set Theory, Logic

Publication Year

2004

Type

Textbook

Subject Area

Mathematics, Philosophy

Author

Michael Potter

Format

Uk-Trade Paper

Dimensions

Item Height

0.7 in

Item Weight

18 Oz

Item Length

9.2 in

Item Width

6.1 in

Additional Product Features

Intended Audience

Scholarly & Professional

LCCN

2004-298369

Dewey Edition

Reviews

"Michael Potter has given us a wonderful new book. The mathematics are extremely clearly presented, it's an easy book to learn from. Potter is very good at explaining the motivations-both philosophical and technical-for various bits of mathematics, so one never has the feeling of wading through long pages of pointless technical minutiae. It is a rewarding read even for those who don't intend to follow all the technical details. Potter's book provides a great introduction to set theory and its philosophy, he has written the best philosophical introduction on the market." --Notre DamePhilosophical Reviews, "Michael Potter has given us a wonderful new book. The mathematics are extremely clearly presented, it's an easy book to learn from. Potter is very good at explaining the motivations-both philosophical and technical-for various bits of mathematics, so one never has the feeling of wading through long pages of pointless technical minutiae. It is a rewarding read even for those who don't intend to follow all the technical details. Potter's book provides a great introduction to set theory and its philosophy, he has written the best philosophical introduction on the market." --Notre Dame Philosophical Reviews

Illustrated

Yes

Dewey Decimal

511.3/22

Table Of Content

I. Sets1. Logic2. Collections3. The hierarchy4. The theory of sets5. ClassesII. Numbers6. Arithmetic7. Counting8. Lines9. Real numbersIII. Cardinals and Ordinals10. Cardinals11. Basic cardinal arithmetic12. Ordinals13. Ordinal aritmeticIV. Further axioms14. Orders of infinity15. The axiom of choice16. Further cardinal arithmetic

Synopsis

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.Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key questionhere is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of ahierarchy of levels.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., 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., 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.Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels.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., 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 beoffered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.

LC Classification Number

QA248

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