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Author : Azriel Levy
Publisher : American Mathematical Soc.
ISBN 13 : 0821812572
Total Pages : 79 pages
Book Rating : 4.8/5 (218 download)
Download or read book A Hierarchy of Formulas in Set Theory written by Azriel Levy and published by American Mathematical Soc.. This book was released on 1965 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Azriel Lévy
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (52 download)
Download or read book A Hierarchy of Formulas in Set Theory written by Azriel Lévy and published by . This book was released on 1965 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Azriel Levy
Publisher :
ISBN 13 : 9780608092119
Total Pages : 78 pages
Book Rating : 4.0/5 (921 download)
Download or read book A Hierarchy of Formulas in Set Theory written by Azriel Levy and published by . This book was released on with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Lachlan
Publisher : Springer
ISBN 13 : 3540370323
Total Pages : 353 pages
Book Rating : 4.5/5 (43 download)
Download or read book Set Theory and Hierarchy Theory V written by A. Lachlan and published by Springer. This book was released on 2006-11-15 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Moshe Machover
Publisher : Cambridge University Press
ISBN 13 : 9780521479981
Total Pages : 304 pages
Book Rating : 4.4/5 (799 download)
Download or read book Set Theory, Logic and Their Limitations written by Moshe Machover and published by Cambridge University Press. This book was released on 1996-05-23 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to set theory and logic that starts completely from scratch. The text is accompanied by many methodological remarks and explanations. A rigorous axiomatic presentation of Zermelo-Fraenkel set theory is given, demonstrating how the basic concepts of mathematics have apparently been reduced to set theory. This is followed by a presentation of propositional and first-order logic. Concepts and results of recursion theory are explained in intuitive terms, and the author proves and explains the limitative results of Skolem, Tarski, Church and Gödel (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory.
Author : Azriel Levy
Publisher : Courier Corporation
ISBN 13 : 0486150739
Total Pages : 418 pages
Book Rating : 4.4/5 (861 download)
Download or read book Basic Set Theory written by Azriel Levy and published by Courier Corporation. This book was released on 2012-06-11 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although this book deals with basic set theory (in general, it stops short of areas where model-theoretic methods are used) on a rather advanced level, it does it at an unhurried pace. This enables the author to pay close attention to interesting and important aspects of the topic that might otherwise be skipped over. Written for upper-level undergraduate and graduate students, the book is divided into two parts. The first covers pure set theory, including the basic notions, order and well-foundedness, cardinal numbers, the ordinals, and the axiom of choice and some of its consequences. The second part deals with applications and advanced topics, among them a review of point set topology, the real spaces, Boolean algebras, and infinite combinatorics and large cardinals. A helpful appendix deals with eliminability and conservation theorems, while numerous exercises supply additional information on the subject matter and help students test their grasp of the material. 1979 edition. 20 figures.
Author : C.J. Ash
Publisher : Elsevier
ISBN 13 : 0080529526
Total Pages : 363 pages
Book Rating : 4.0/5 (85 download)
Download or read book Computable Structures and the Hyperarithmetical Hierarchy written by C.J. Ash and published by Elsevier. This book was released on 2000-06-16 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There are many interesting results already, but there are also many natural questions still to be answered. The book is self-contained in that it includes necessary background material from recursion theory (ordinal notations, the hyperarithmetical hierarchy) and model theory (infinitary formulas, consistency properties).
Author : Charles C Pinter
Publisher : Courier Corporation
ISBN 13 : 0486497089
Total Pages : 259 pages
Book Rating : 4.4/5 (864 download)
Download or read book A Book of Set Theory written by Charles C Pinter and published by Courier Corporation. This book was released on 2014-07-23 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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"--
Author : W. Marek
Publisher : Springer
ISBN 13 : 3540381228
Total Pages : 344 pages
Book Rating : 4.5/5 (43 download)
Download or read book Set Theory and Hierarchy Theory written by W. Marek and published by Springer. This book was released on 2006-11-14 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Kechris
Publisher : Springer Science & Business Media
ISBN 13 : 1461241901
Total Pages : 419 pages
Book Rating : 4.4/5 (612 download)
Download or read book Classical Descriptive Set Theory written by Alexander Kechris and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text presents a largely balanced approach to the subject, which combines many elements of the different traditions. It includes a wide variety of examples, more than 400 exercises, and applications, in order to illustrate the general concepts and results of the theory.
Author : Dana S. Scott
Publisher : American Mathematical Soc.
ISBN 13 : 0821802453
Total Pages : 482 pages
Book Rating : 4.8/5 (218 download)
Download or read book Axiomatic Set Theory, Part 1 written by Dana S. Scott and published by American Mathematical Soc.. This book was released on 1971-12-31 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Norman T. Hamilton
Publisher : Courier Dover Publications
ISBN 13 : 0486830470
Total Pages : 289 pages
Book Rating : 4.4/5 (868 download)
Download or read book Set Theory: The Structure of Arithmetic written by Norman T. Hamilton and published by Courier Dover Publications. This book was released on 2018-05-16 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. 1961 edition.
Author : Thomas J. Jech
Publisher : American Mathematical Soc.
ISBN 13 : 0821802461
Total Pages : 232 pages
Book Rating : 4.8/5 (218 download)
Download or read book Axiomatic Set Theory, Part 2 written by Thomas J. Jech and published by American Mathematical Soc.. This book was released on 1971 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : U. Felgner
Publisher : Springer
ISBN 13 : 3540369082
Total Pages : 179 pages
Book Rating : 4.5/5 (43 download)
Download or read book Models of ZF-Set Theory written by U. Felgner and published by Springer. This book was released on 2006-11-15 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter G. Hinman
Publisher : Springer
ISBN 13 :
Total Pages : 502 pages
Book Rating : 4.3/5 (91 download)
Download or read book Recursion-theoretic Hierarchies written by Peter G. Hinman and published by Springer. This book was released on 1978 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jon Barwise
Publisher : Cambridge University Press
ISBN 13 : 1316739414
Total Pages : 410 pages
Book Rating : 4.3/5 (167 download)
Download or read book Admissible Sets and Structures written by Jon Barwise and published by Cambridge University Press. This book was released on 2017-03-02 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. Admissible set theory is a major source of interaction between model theory, recursion theory and set theory, and plays an important role in definability theory. In this volume, the seventh publication in the Perspectives in Logic series, Jon Barwise presents the basic facts about admissible sets and admissible ordinals in a way that makes them accessible to logic students and specialists alike. It fills the artificial gap between model theory and recursion theory and covers everything the logician should know about admissible sets.
Author : Apostolos Syropoulos
Publisher : Springer Science & Business Media
ISBN 13 : 1461483794
Total Pages : 170 pages
Book Rating : 4.4/5 (614 download)
Download or read book Theory of Fuzzy Computation written by Apostolos Syropoulos and published by Springer Science & Business Media. This book was released on 2013-10-23 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides the first full length exploration of fuzzy computability. It describes the notion of fuzziness and present the foundation of computability theory. It then presents the various approaches to fuzzy computability. This text provides a glimpse into the different approaches in this area, which is important for researchers in order to have a clear view of the field. It contains a detailed literature review and the author includes all proofs to make the presentation accessible. Ideas for future research and explorations are also provided. Students and researchers in computer science and mathematics will benefit from this work.
