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Quine, New Foundations, and the Philosophy of Set Theory Sean Morris

Quine, New Foundations, and the Philosophy of Set Theory By Sean Morris

Quine, New Foundations, and the Philosophy of Set Theory by Sean Morris


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Summary

This book places Quine's set theory, New Foundations, within its general philosophical and historical context and shows its relation to his other work and its continuing relevance to philosophy. It will appeal to scholars and advanced students interested in Quine and in logic more generally.

Quine, New Foundations, and the Philosophy of Set Theory Summary

Quine, New Foundations, and the Philosophy of Set Theory by Sean Morris

Quine's set theory, New Foundations, has often been treated as an anomaly in the history and philosophy of set theory. In this book, Sean Morris shows that it is in fact well-motivated, emerging in a natural way from the early development of set theory. Morris introduces and explores the notion of set theory as explication: the view that there is no single correct axiomatization of set theory, but rather that the various axiomatizations all serve to explicate the notion of set and are judged largely according to pragmatic criteria. Morris also brings out the important interplay between New Foundations, Quine's philosophy of set theory, and his philosophy more generally. We see that his early technical work in logic foreshadows his later famed naturalism, with his philosophy of set theory playing a crucial role in his primary philosophical project of clarifying our conceptual scheme and specifically its logical and mathematical components.

Quine, New Foundations, and the Philosophy of Set Theory Reviews

'Sean Morris's book fills a heretofore gaping hole in our understanding of the origins and history of set theory, explaining how Quine's New Foundations is not the isolated, idiosyncratic system it is sometimes taken to be, but is instead deeply connected - historically, philosophically, and mathematically - to other, now more mainstream, accounts of the nature of sets.' Roy T. Cook, University of Minnesota, Twin Cities

About Sean Morris

Sean Morris is Associate Professor of Philosophy at the Metropolitan State University of Denver. He has written extensively on Quine and the history of analytic philosophy with a particular emphasis on Quine's work in the foundations of mathematics.

Table of Contents

Preface; Introduction; Part I: 1. Cantor and the early development of set theory; 2. Cantor, Russell, and Zermelo and the set-theoretic paradoxes; 3. NF and the beginnings of Quine's philosophy of set theory; Part II: 4. Quine's philosophy of set theory; 5. Clarifying our conceptual scheme: set theory and the role of explication; Part III: 6. The iterative conception and set theory; 7. NF, the axiom of choice, and arithmetic; Bibliography; Index.

Additional information

NLS9781316606636
9781316606636
1316606635
Quine, New Foundations, and the Philosophy of Set Theory by Sean Morris
New
Paperback
Cambridge University Press
2021-01-21
219
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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