Set Theory and Its Philosophy: A Critical Introduction

Set Theory and Its Philosophy: A Critical Introduction
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"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 . This book presents a philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory.

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Modal Objectivity. Studd - - Journal of Philosophical Logic 42 5 Sergey L.

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Katrechko - - Kantian Journal 37 3 Objectivity and Reliability. Set-Theoretic Pluralism and the Benacerraf Problem. Justin Clarke-Doane - forthcoming - Philosophical Studies Steve Awodey - - Bulletin of Symbolic Logic 14 3 Weir - - Mind Is Any Set Theory True?

Joseph S. Ullian - - Philosophy of Science 36 3 Sets, Classes, and Categories. Muller - - British Journal for the Philosophy of Science 52 3 Review of M. Issues in Commonsense Set Theory. Varol Akman - manuscript.

Harvey M. Friedman - unknown. Notes on Logic and Set Theory.

Johnstone - - Cambridge University Press. Added to PP index Total views 79 99, of 2,, Recent downloads 6 months 6 , of 2,, How can I increase my downloads? Sign in to use this feature.

ISBN 13: 9780199269730

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.

follow site 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.

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Sign up to our newsletter today! Click here for more details Telegraph bookshop. Description Michael Potter presents a comprehensive new philosophical introduction to set theory.

Set Theory and Its Philosophy: A Critical Introduction