Lectures In Logic And Set Theory Volume 2 Set Theory

Author : George Tourlakis
Publisher : Cambridge University Press
Page : 596 pages
File Size : 44,8 Mb
Release : 2003-02-13
Category : Mathematics
ISBN : 113943943X

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Lectures in Logic and Set Theory: Volume 2, Set Theory by George Tourlakis Pdf

This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume II, on formal (ZFC) set theory, incorporates a self-contained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing.

Author : George Tourlakis
Publisher : Cambridge University Press
Page : 0 pages
File Size : 40,7 Mb
Release : 2003-02-13
Category : Mathematics
ISBN : 0521753740

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Lectures in Logic and Set Theory: Volume 2, Set Theory by George Tourlakis Pdf

Volume II, on formal (ZFC) set theory, incorporates a self-contained "chapter 0" on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques provides a solid foundation in set theory and a thorough context for the presentation of advanced topics (such as absoluteness, relative consistency results, two expositions of Godel's construstive universe, numerous ways of viewing recursion and Cohen forcing).

Author : Anonim
Publisher : Unknown
Page : 575 pages
File Size : 44,9 Mb
Release : 2003
Category : Logic, Symbolic and mathematical
ISBN : OCLC:70773621

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Lectures in Logic and Set Theory by Anonim Pdf

Author : George Tourlakis
Publisher : Cambridge University Press
Page : 344 pages
File Size : 50,8 Mb
Release : 2003-01-09
Category : Mathematics
ISBN : 9781139439428

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Lectures in Logic and Set Theory: Volume 1, Mathematical Logic by George Tourlakis Pdf

This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume 1 includes formal proof techniques, a section on applications of compactness (including nonstandard analysis), a generous dose of computability and its relation to the incompleteness phenomenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem.

Author : George Tourlakis
Publisher : Cambridge University Press
Page : 0 pages
File Size : 52,8 Mb
Release : 2011-07-21
Category : Mathematics
ISBN : 0521168481

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Lectures in Logic and Set Theory: Volume 2, Set Theory by George Tourlakis Pdf

Volume II, on formal (ZFC) set theory, incorporates a self-contained "chapter 0" on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques provides a solid foundation in set theory and a thorough context for the presentation of advanced topics (such as absoluteness, relative consistency results, two expositions of Godel's construstive universe, numerous ways of viewing recursion and Cohen forcing).

Author : George Tourlakis
Publisher : Unknown
Page : 128 pages
File Size : 51,6 Mb
Release : 2003
Category : Electronic
ISBN : OCLC:909215820

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Lectures in Logic and Set Theory by George Tourlakis Pdf

Author : Douglas Cenzer,Jean Larson,Christopher Porter,Jindrich Zapletal
Publisher : World Scientific
Page : 222 pages
File Size : 51,9 Mb
Release : 2020-04-04
Category : Mathematics
ISBN : 9789811201943

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Set Theory And Foundations Of Mathematics: An Introduction To Mathematical Logic - Volume I: Set Theory by Douglas Cenzer,Jean Larson,Christopher Porter,Jindrich Zapletal Pdf

This book provides an introduction to axiomatic set theory and descriptive set theory. It is written for the upper level undergraduate or beginning graduate students to help them prepare for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra.The book is designed as a flexible and accessible text for a one-semester introductory course in set theory, where the existing alternatives may be more demanding or specialized. Readers will learn the universally accepted basis of the field, with several popular topics added as an option. Pointers to more advanced study are scattered throughout the text.

Author : Robert R. Stoll
Publisher : Courier Corporation
Page : 512 pages
File Size : 53,5 Mb
Release : 2012-05-23
Category : Mathematics
ISBN : 9780486139647

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Set Theory and Logic by Robert R. Stoll Pdf

Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.

Author : Douglas Cenzer,Jean Larson,Christopher Porter,Jindrich Zapletal
Publisher : World Scientific
Page : 254 pages
File Size : 50,5 Mb
Release : 2022-01-27
Category : Mathematics
ISBN : 9789811243868

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Set Theory And Foundations Of Mathematics: An Introduction To Mathematical Logic - Volume Ii: Foundations Of Mathematics by Douglas Cenzer,Jean Larson,Christopher Porter,Jindrich Zapletal Pdf

This book provides an introduction to mathematical logic and the foundations of mathematics. It will help prepare students for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra. The presentation of finite state and Turing machines leads to the Halting Problem and Gödel's Incompleteness Theorem, which have broad academic interest, particularly in computer science and philosophy.

Author : Iqbal H. Jebril,Hemen Dutta,Ilwoo Cho
Publisher : CRC Press
Page : 168 pages
File Size : 49,6 Mb
Release : 2021-10-14
Category : Technology & Engineering
ISBN : 9780429663260

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Concise Introduction to Logic and Set Theory by Iqbal H. Jebril,Hemen Dutta,Ilwoo Cho Pdf

This book deals with two important branches of mathematics, namely, logic and set theory. Logic and set theory are closely related and play very crucial roles in the foundation of mathematics, and together produce several results in all of mathematics. The topics of logic and set theory are required in many areas of physical sciences, engineering, and technology. The book offers solved examples and exercises, and provides reasonable details to each topic discussed, for easy understanding. The book is designed for readers from various disciplines where mathematical logic and set theory play a crucial role. The book will be of interested to students and instructors in engineering, mathematics, computer science, and technology.

Author : George J. Tourlakis
Publisher : Unknown
Page : 328 pages
File Size : 54,9 Mb
Release : 2003
Category : Electronic books
ISBN : 1107128560

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Mathematical Logic by George J. Tourlakis Pdf

Author : A.A. Fraenkel,Y. Bar-Hillel,A. Levy
Publisher : Elsevier
Page : 415 pages
File Size : 52,9 Mb
Release : 1973-12-01
Category : Computers
ISBN : 9780080887050

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Foundations of Set Theory by A.A. Fraenkel,Y. Bar-Hillel,A. Levy Pdf

Foundations of Set Theory discusses the reconstruction undergone by set theory in the hands of Brouwer, Russell, and Zermelo. Only in the axiomatic foundations, however, have there been such extensive, almost revolutionary, developments. This book tries to avoid a detailed discussion of those topics which would have required heavy technical machinery, while describing the major results obtained in their treatment if these results could be stated in relatively non-technical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction of set theory as it was known before. It then moves to the axiomatic foundations of set theory, including a discussion of the basic notions of equality and extensionality and axioms of comprehension and infinity. The next chapters discuss type-theoretical approaches, including the ideal calculus, the theory of types, and Quine's mathematical logic and new foundations; intuitionistic conceptions of mathematics and its constructive character; and metamathematical and semantical approaches, such as the Hilbert program. This book will be of interest to mathematicians, logicians, and statisticians.

Author : Thomas J. Jech
Publisher : Unknown
Page : 137 pages
File Size : 44,6 Mb
Release : 1971
Category : Set theory
ISBN : OCLC:969994548

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Lectures in set theory, with particular emphasis on the method of forcing by Thomas J. Jech Pdf

Author : Yiannis Moschovakis
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 50,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475741537

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Notes on Set Theory by Yiannis Moschovakis Pdf

What this book is about. The theory of sets is a vibrant, exciting math ematical theory, with its own basic notions, fundamental results and deep open problems, and with significant applications to other mathematical theories. At the same time, axiomatic set theory is often viewed as a foun dation ofmathematics: it is alleged that all mathematical objects are sets, and their properties can be derived from the relatively few and elegant axioms about sets. Nothing so simple-minded can be quite true, but there is little doubt that in standard, current mathematical practice, "making a notion precise" is essentially synonymous with "defining it in set theory. " Set theory is the official language of mathematics, just as mathematics is the official language of science. Like most authors of elementary, introductory books about sets, I have tried to do justice to both aspects of the subject. From straight set theory, these Notes cover the basic facts about "ab stract sets," including the Axiom of Choice, transfinite recursion, and car dinal and ordinal numbers. Somewhat less common is the inclusion of a chapter on "pointsets" which focuses on results of interest to analysts and introduces the reader to the Continuum Problem, central to set theory from the very beginning.

Author : Thomas Jech
Publisher : Springer
Page : 652 pages
File Size : 50,8 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662224011

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Set Theory by Thomas Jech Pdf

This monograph covers the recent major advances in various areas of set theory. From the reviews: "One of the classical textbooks and reference books in set theory....The present Third Millennium edition...is a whole new book. In three parts the author offers us what in his view every young set theorist should learn and master....This well-written book promises to influence the next generation of set theorists, much as its predecessor has done." --MATHEMATICAL REVIEWS"