|
" Quine, new foundations, and the philosophy of set theory / "
Sean Morris, Metropolitan State University of Denver.
| Document Type
|
:
|
BL
|
| Record Number
|
:
|
839649
|
| Main Entry
|
:
|
Morris, Sean, (Professor of Philosophy)
|
| Title & Author
|
:
|
Quine, new foundations, and the philosophy of set theory /\ Sean Morris, Metropolitan State University of Denver.
|
| Publication Statement
|
:
|
Cambridge, United Kingdom ;New York, NY :: Cambridge University Press,, 2018.
|
|
|
:
|
, ©2018
|
| Page. NO
|
:
|
1 online resource (x, 209 pages)
|
| ISBN
|
:
|
1108616143
|
|
|
:
|
: 1316591328
|
|
|
:
|
: 9781108616140
|
|
|
:
|
: 9781316591321
|
|
|
:
|
110715250X
|
|
|
:
|
1316606635
|
|
|
:
|
9781107152502
|
|
|
:
|
9781316606636
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references and index.
|
| Contents
|
:
|
Cover; Half Title; Title page; Imprints page; Dedication; Contents; Preface; Introduction; Part I Set Theory's Beginnings; Chapter 1 Cantor and the Early Development of Set Theory; 1.1 The Beginnings of Set Theory as a Mathematical Discipline; 1.2 From the Potential to the Actual Infinite; 1.3 Cardinals, Ordinals, and the Continuum Problem; Chapter 2 Cantor, Russell, and Zermelo and the Set-Theoretic Paradoxes; 2.1 Russell and the Discovery of the Paradoxes; 2.2 Avoiding the Paradoxes: Cantor and the Absolute Infinite; 2.3 Resolving the Paradoxes: Zermelo and Russell
|
|
|
:
|
5.1 Clarifying Our Conceptual Scheme5.2 Explication; 5.3 Quine's Mature Philosophy of Set Theory: Set Theory and Its Logic; 5.4 An Addendum on Quine and Carnap on Tolerance and Set Theory; Part III New Foundations and the Philosophy of Set Theory; Chapter 6 The Iterative Conception and Set Theory; 6.1 Boolos's Exposition; 6.2 The Iterative Conception As Set Theory; 6.3 The Iterative Conception and Zermelo's Axioms; Chapter 7 New Foundations, the Axiom of Choice, and Arithmetic; 7.1 The Axiom of Choice; 7.2 Arithmetic in New Foundations; 7.3 Exploring the Set-Theoretic Universe; Bibliography
|
|
|
:
|
Chapter 3 New Foundations and the Beginnings of Quine's Philosophy of Set Theory3.1 From Russell and Zermelo to New Foundations; 3.2 "Contradictions Really Scare Me": New Foundations and the Paradoxes; 3.3 Some Concluding Remarks on the Significance of Consistency Proofs; Part II Quine, Set Theory, and Philosophy; Chapter 4 Quine's Philosophy of Set Theory; 4.1 Background in Russell; 4.2 Early Developments: From "The Logic of Sequences" to New Foundations; 4.3 New Foundations as Philosophy of Set Theory; Chapter 5 Clarifying Our Conceptual Scheme: Set Theory and the Role of Explication
|
| Abstract
|
:
|
Provides an accessible mathematical and philosophical account of Quine's set theory, New Foundations.
|
| Subject
|
:
|
Quine, W. V., (Willard Van Orman)
|
|
|
:
|
Quine, W. V., (Willard Van Orman)
|
| Subject
|
:
|
Set theory.
|
| Subject
|
:
|
PHILOSOPHY-- Logic.
|
| Subject
|
:
|
Set theory.
|
| Dewey Classification
|
:
|
160.92
|
| LC Classification
|
:
|
B945.Q54
|
| |