Lectures In Logic And Set Theory Volume 2 Set Theory
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Lectures In Logic And Set Theory Volume 2 Set Theory
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Author : George Tourlakis
language : en
Publisher: Cambridge University Press
Release Date : 2003-02-13
Lectures In Logic And Set Theory Volume 2 Set Theory written by George Tourlakis 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 2003-02-13 with Mathematics categories.
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.
Cambridge Studies In Advanced Mathematics
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Author : George J. Tourlakis
language : en
Publisher:
Release Date : 2003
Cambridge Studies In Advanced Mathematics written by George J. Tourlakis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Logic, Symbolic and mathematical categories.
Lectures In Logic And Set Theory Volume 1 Mathematical Logic
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Author : George Tourlakis
language : en
Publisher: Cambridge University Press
Release Date : 2003-01-09
Lectures In Logic And Set Theory Volume 1 Mathematical Logic written by George Tourlakis 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 2003-01-09 with Mathematics categories.
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.
Logic In Linguistics
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Author : Jens Allwood
language : en
Publisher: Cambridge University Press
Release Date : 1977-09-15
Logic In Linguistics written by Jens Allwood 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 1977-09-15 with Language Arts & Disciplines categories.
The authors offer a clear, succinct and basic introduction to set theory and formal logic for linguists.
Set Theory And Logic
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Author : Robert R. Stoll
language : en
Publisher: Courier Corporation
Release Date : 2012-05-23
Set Theory And Logic written by Robert R. Stoll and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-23 with Mathematics categories.
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.
Algebraic Set Theory
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Author : André Joyal
language : en
Publisher: Cambridge University Press
Release Date : 1995-09-14
Algebraic Set Theory written by André Joyal 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 1995-09-14 with Mathematics categories.
This book offers a new algebraic approach to set theory. The authors introduce a particular kind of algebra, the Zermelo-Fraenkel algebras, which arise from the familiar axioms of Zermelo-Fraenkel set theory. Furthermore, the authors explicitly construct these algebras using the theory of bisimulations. Their approach is completely constructive, and contains both intuitionistic set theory and topos theory. In particular it provides a uniform description of various constructions of the cumulative hierarchy of sets in forcing models, sheaf models and realizability models. Graduate students and researchers in mathematical logic, category theory and computer science should find this book of great interest, and it should be accessible to anyone with a background in categorical logic.
Topology Problem Solver
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Author :
language : en
Publisher: Research & Education Assoc.
Release Date :
Topology Problem Solver written by and has been published by Research & Education Assoc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Thorough coverage is given to the fundamental concepts of topology, axiomatic set theory, mappings, cardinal numbers, ordinal numbers, metric spaces, topological spaces, separation axioms, Cartesian products, the elements of homotopy theory, and other topics. A comprehensive study aid for the graduate student and beyond.
A Book Of Set Theory
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Author : Charles C Pinter
language : en
Publisher: Courier Corporation
Release Date : 2014-07-23
A Book Of Set Theory written by Charles C Pinter and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-23 with Mathematics categories.
"This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--
Notes On Logic And Set Theory
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Author : P. T. Johnstone
language : en
Publisher: Cambridge University Press
Release Date : 1987-10-08
Notes On Logic And Set Theory written by P. T. Johnstone 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 1987-10-08 with Mathematics categories.
A succinct introduction to mathematical logic and set theory, which together form the foundations for the rigorous development of mathematics. Suitable for all introductory mathematics undergraduates, Notes on Logic and Set Theory covers the basic concepts of logic: first-order logic, consistency, and the completeness theorem, before introducing the reader to the fundamentals of axiomatic set theory. Successive chapters examine the recursive functions, the axiom of choice, ordinal and cardinal arithmetic, and the incompleteness theorems. Dr. Johnstone has included numerous exercises designed to illustrate the key elements of the theory and to provide applications of basic logical concepts to other areas of mathematics.
An Outline Of Set Theory
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Author : James M. Henle
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Outline Of Set Theory written by James M. Henle 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 is designed for use in a one semester problem-oriented course in undergraduate set theory. The combination of level and format is somewhat unusual and deserves an explanation. Normally, problem courses are offered to graduate students or selected undergraduates. I have found, however, that the experience is equally valuable to ordinary mathematics majors. I use a recent modification of R. L. Moore's famous method developed in recent years by D. W. Cohen [1]. Briefly, in this new approach, projects are assigned to groups of students each week. With all the necessary assistance from the instructor, the groups complete their projects, carefully write a short paper for their classmates, and then, in the single weekly class meeting, lecture on their results. While the em phasis is on the student, the instructor is available at every stage to assure success in the research, to explain and critique mathematical prose, and to coach the groups in clear mathematical presentation. The subject matter of set theory is peculiarly appropriate to this style of course. For much of the book the objects of study are familiar and while the theorems are significant and often deep, it is the methods and ideas that are most important. The necessity of rea soning about numbers and sets forces students to come to grips with the nature of proof, logic, and mathematics. In their research they experience the same dilemmas and uncertainties that faced the pio neers.