Set Theory and its Philosophy

Name: Set Theory and its Philosophy
Brand: Oxford University Press
SKU: 9780199269730
Price: 910.03 RON
Availability: InStock

A Critical Introduction

Autor: Michael Potter

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Legare: Copertă tare

Editura: Oxford University Press

Disponibilitate: În depozitul extern

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A comprehensive philosophical introduction to set theory. Anyone wishing to work on the logical foun...

Informații despre carte

Autor

Michael Potter

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2004

Pagini

360

EAN

9780199269730

ISBN

0199269734

Enbook ID

04531119

Editura

Oxford University Press

Greutate

314

Dimensiuni

203 x 203 x 10

Descriere completă

A comprehensive 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.

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Set Theory and its Philosophy

A Critical Introduction

Informații despre carte

Descriere completă

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