Set Theory and its Philosophy - A Critical Introduction (Paperback, New)


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.

R1,165

Or split into 4x interest-free payments of 25% on orders over R50
Learn more

Discovery Miles11650
Mobicred@R109pm x 12* Mobicred Info
Free Delivery
Delivery AdviceShips in 10 - 15 working days


Toggle WishListAdd to wish list
Review this Item

Product Description

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.

Customer Reviews

No reviews or ratings yet - be the first to create one!

Product Details

General

Imprint

Clarendon Press

Country of origin

United Kingdom

Release date

2004

Availability

Expected to ship within 10 - 15 working days

First published

2004

Authors

Dimensions

233 x 155 x 18mm (L x W x T)

Format

Paperback

Pages

360

Edition

New

ISBN-13

978-0-19-927041-5

Barcode

9780199270415

Categories

LSN

0-19-927041-4



Trending On Loot