عنوان
پدید آورنده
موضوع
رده
B945.Q54
B945
.
Q54
کتابخانه
محل استقرار
1108616143
1316591328
9781108616140
9781316591321
110715250X
1316606635
9781107152502
9781316606636
Quine, new foundations, and the philosophy of set theory /
[Book]
Sean Morris, Metropolitan State University of Denver.
New York, NY :
Cambridge University Press,
2018.
©2018
1 online resource (x, 209 pages)
Includes bibliographical references and index.
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
0
8
8
Provides an accessible mathematical and philosophical account of Quine's set theory, New Foundations.
9781107152502
Quine, W. V., (Willard Van Orman)
Quine, W. V., (Willard Van Orman)
Set theory.
PHILOSOPHY-- Logic.
Set theory.
PHI-- 011000
160
.
92
23
B945
.
Q54
Morris, Sean, (Professor of Philosophy)
20200822151326.0
pn
مطالعه متن کتاب [Book]
Y
