Axiomatic Set Theory Part 2
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Axiomatic Set Theory Part 2
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Author : Thomas J. Jech
language : en
Publisher: American Mathematical Soc.
Release Date : 1971
Axiomatic Set Theory Part 2 written by Thomas J. Jech and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Axiomatic set theory categories.
Axiomatic Set Theory
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Author : G. Takeuti
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Axiomatic Set Theory written by G. Takeuti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
This text deals with three basic techniques for constructing models of Zermelo-Fraenkel set theory: relative constructibility, Cohen's forcing, and Scott-Solovay's method of Boolean valued models. Our main concern will be the development of a unified theory that encompasses these techniques in one comprehensive framework. Consequently we will focus on certain funda mental and intrinsic relations between these methods of model construction. Extensive applications will not be treated here. This text is a continuation of our book, "I ntroduction to Axiomatic Set Theory," Springer-Verlag, 1971; indeed the two texts were originally planned as a single volume. The content of this volume is essentially that of a course taught by the first author at the University of Illinois in the spring of 1969. From the first author's lectures, a first draft was prepared by Klaus Gloede with the assistance of Donald Pelletier and the second author. This draft was then rcvised by the first author assisted by Hisao Tanaka. The introductory material was prepared by the second author who was also responsible for the general style of exposition throughout the text. We have inc1uded in the introductory material al1 the results from Boolean algebra and topology that we need. When notation from our first volume is introduced, it is accompanied with a deflnition, usually in a footnote. Consequently a reader who is familiar with elementary set theory will find this text quite self-contained.
Axiomatic Set Theory
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Author : Patrick Suppes
language : en
Publisher: Courier Corporation
Release Date : 1972-01-01
Axiomatic Set Theory written by Patrick Suppes and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-01-01 with Mathematics categories.
Geared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition.
Axiomatic Set Theory Part 1
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Author : Dana S. Scott
language : en
Publisher: American Mathematical Soc.
Release Date : 1971-12-31
Axiomatic Set Theory Part 1 written by Dana S. Scott and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-12-31 with Mathematics categories.
A Formalization Of Set Theory Without Variables
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Author : Alfred Tarski
language : en
Publisher: American Mathematical Soc.
Release Date : 1987
A Formalization Of Set Theory Without Variables written by Alfred Tarski and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Culminates nearly half a century of the late Alfred Tarski's foundational studies in logic, mathematics, and the philosophy of science. This work shows that set theory and number theory can be developed within the framework of a new, different and simple equational formalism, closely related to the formalism of the theory of relation algebras.
Axiomatic Set Theory
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Author : Lev D. Beklemishev
language : en
Publisher: Elsevier
Release Date : 2000-04-01
Axiomatic Set Theory written by Lev D. Beklemishev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Computers categories.
Axiomatic Set Theory
Set Theory Arithmetic And Foundations Of Mathematics
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Author : Juliette Kennedy
language : en
Publisher: Cambridge University Press
Release Date : 2011-09-01
Set Theory Arithmetic And Foundations Of Mathematics written by Juliette Kennedy 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 2011-09-01 with Mathematics categories.
This collection of papers from various areas of mathematical logic showcases the remarkable breadth and richness of the field. Leading authors reveal how contemporary technical results touch upon foundational questions about the nature of mathematics. Highlights of the volume include: a history of Tennenbaum's theorem in arithmetic; a number of papers on Tennenbaum phenomena in weak arithmetics as well as on other aspects of arithmetics, such as interpretability; the transcript of Gödel's previously unpublished 1972–1975 conversations with Sue Toledo, along with an appreciation of the same by Curtis Franks; Hugh Woodin's paper arguing against the generic multiverse view; Anne Troelstra's history of intuitionism through 1991; and Aki Kanamori's history of the Suslin problem in set theory. The book provides a historical and philosophical treatment of particular theorems in arithmetic and set theory, and is ideal for researchers and graduate students in mathematical logic and philosophy of mathematics.
Rudolf Carnap Studies In Semantics
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Author : Steve Awodey
language : en
Publisher: Oxford University Press
Release Date : 2024-04-22
Rudolf Carnap Studies In Semantics written by Steve Awodey 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 2024-04-22 with Philosophy categories.
This volume contains Carnap's Studies in Semantics, a series of three interlocking books: Introduction to Semantics (1942), Formalization of Logic (1942), and Meaning and Necessity (1947). They were extremely influential in their time, especially the third, and shaped the direction of analytic philosophy during the 1950s and 1960s. They constitute the background to a number of celebrated controversies of that period, especially those between Carnap and Quine. Most of the philosophical debates today in philosophical logic and the philosophy of language ultimately had their origins here. This new edition situates these works in their context, both within Carnap's philosophical development and within the philosophical debates they responded to and influenced. The editors' introduction explains how Carnap arrived at the project of semantics in the 1930s and how it developed into these three successive publications, how the three books fit together, and how the project developed and changed in the course of the 1940s. It also describes the reception of the books as they appeared, as well as Carnap's response. The editorial and textual notes give variant readings, Carnap's own marginal notes on these texts in his personal copies, and elucidatory commentary where Carnap's terminology or notation are no longer familiar. This will be an indispensable volume for anyone interested in the origins and preoccupations of present-day analytic philosophy, especially philosophical logic and philosophy of language.
Grazer Philosophische Studien
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Author : Johannes L. Brandl
language : en
Publisher: Rodopi
Release Date : 2005
Grazer Philosophische Studien written by Johannes L. Brandl and has been published by Rodopi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Language Arts & Disciplines categories.
Zermelo S Axiom Of Choice
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Author : G.H. Moore
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Zermelo S Axiom Of Choice written by G.H. Moore and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book grew out of my interest in what is common to three disciplines: mathematics, philosophy, and history. The origins of Zermelo's Axiom of Choice, as well as the controversy that it engendered, certainly lie in that intersection. Since the time of Aristotle, mathematics has been concerned alternately with its assumptions and with the objects, such as number and space, about which those assumptions were made. In the historical context of Zermelo's Axiom, I have explored both the vagaries and the fertility of this alternating concern. Though Zermelo's research has provided the focus for this book, much of it is devoted to the problems from which his work originated and to the later developments which, directly or indirectly, he inspired. A few remarks about format are in order. In this book a publication is indicated by a date after a name; so Hilbert 1926, 178 refers to page 178 of an article written by Hilbert, published in 1926, and listed in the bibliography.