Set Theory And Its Philosophy

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Set Theory And Its Philosophy

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Author : Michael D. Potter
language : en
Publisher:
Release Date : 2004

Set Theory And Its Philosophy written by Michael D. Potter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Set theory categories.

Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. This is a comprehensive philosophical introduction to the field offering a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates.

The Philosophy Of Set Theory

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Author : Mary Tiles
language : en
Publisher: Courier Corporation
Release Date : 2012-03-08

The Philosophy Of Set Theory written by Mary Tiles and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-08 with Mathematics categories.

DIVBeginning with perspectives on the finite universe and classes and Aristotelian logic, the author examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. /div

Quine New Foundations And The Philosophy Of Set Theory

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Author : Sean Morris
language : en
Publisher: Cambridge University Press
Release Date : 2018-12-13

Quine New Foundations And The Philosophy Of Set Theory written by Sean Morris and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-13 with History categories.

Provides an accessible mathematical and philosophical account of Quine's set theory, New Foundations.

Defending The Axioms

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Author : Penelope Maddy
language : en
Publisher: Oxford University Press
Release Date : 2011-01-27

Defending The Axioms written by Penelope Maddy and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-27 with Mathematics categories.

Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. The axioms of set theory have long played this role, so the question of how they are properly judged is of central importance. Maddy discusses the appropriate methods for such evaluations and the philosophical backdrop that makes them appropriate.

Set Theory And The Continuum Hypothesis

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Author : Paul J. Cohen
language : en
Publisher: Courier Corporation
Release Date : 2008-12-09

Set Theory And The Continuum Hypothesis written by Paul J. Cohen and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-09 with Mathematics categories.

This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an award-winning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a self-contained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994.

Conceptions Of Set And The Foundations Of Mathematics

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Author : Luca Incurvati
language : en
Publisher: Cambridge University Press
Release Date : 2021-07-15

Conceptions Of Set And The Foundations Of Mathematics written by Luca Incurvati and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-15 with Science categories.

Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which these conceptions are associated. He shows that the conceptual landscape includes not only the naïve and iterative conceptions but also the limitation of size conception, the definite conception, the stratified conception and the graph conception. In addition, he presents a novel, minimalist account of the iterative conception which does not require the existence of a relation of metaphysical dependence between a set and its members. His book will be of interest to researchers and advanced students in logic and the philosophy of mathematics.

Set Theory

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Author : John P. Burgess
language : en
Publisher: Cambridge University Press
Release Date : 2022-03-10

Set Theory written by John P. Burgess and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-10 with Philosophy categories.

Set theory is a branch of mathematics with a special subject matter, the infinite, but also a general framework for all modern mathematics, whose notions figure in every branch, pure and applied. This Element will offer a concise introduction, treating the origins of the subject, the basic notion of set, the axioms of set theory and immediate consequences, the set-theoretic reconstruction of mathematics, and the theory of the infinite, touching also on selected topics from higher set theory, controversial axioms and undecided questions, and philosophical issues raised by technical developments.

A Logical Foundation For Potentialist Set Theory

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Author : Sharon Berry
language : en
Publisher: Cambridge University Press
Release Date : 2022-02-17

A Logical Foundation For Potentialist Set Theory written by Sharon Berry and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-17 with Mathematics categories.

A new approach to the standard axioms of set theory, relating the theory to the philosophy of science and metametaphysics.

Badiou S Being And Event And The Mathematics Of Set Theory

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Author : Burhanuddin Baki
language : en
Publisher: Bloomsbury Publishing
Release Date : 2015-01-15

Badiou S Being And Event And The Mathematics Of Set Theory written by Burhanuddin Baki and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-15 with Philosophy categories.

A valuable commentary of Badiou's use of mathematics in Being and Event, providing a new reading of his most important work.

Set Theory And Its Logic Revised Edition

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Author : Willard Van O QUINE
language : en
Publisher: Harvard University Press
Release Date : 2009-06-30

Set Theory And Its Logic Revised Edition written by Willard Van O QUINE and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-30 with Philosophy categories.

This is an extensively revised edition of Mr. Quine's introduction to abstract set theory and to various axiomatic systematizations of the subject. The treatment of ordinal numbers has been strengthened and much simplified, especially in the theory of transfinite recursions, by adding an axiom and reworking the proofs. Infinite cardinals are treated anew in clearer and fuller terms than before. Improvements have been made all through the book; in various instances a proof has been shortened, a theorem strengthened, a space-saving lemma inserted, an obscurity clarified, an error corrected, a historical omission supplied, or a new event noted.