A Hierarchy of Formulas in Set Theory PDF Download
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Author: Azriel Levy
Publisher: American Mathematical Soc.
ISBN: 0821812572
Category : Group theory
Languages : en
Pages : 79
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Book Description
Author: Azriel Levy
Publisher: American Mathematical Soc.
ISBN: 0821812572
Category : Group theory
Languages : en
Pages : 79
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Book Description
Author: Azriel Lévy
Publisher:
ISBN:
Category : First-order logic
Languages : en
Pages : 76
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Book Description
Author: Azriel Levy
Publisher:
ISBN: 9780608092119
Category :
Languages : en
Pages : 78
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Book Description
Author: A. Lachlan
Publisher: Springer
ISBN: 3540370323
Category : Mathematics
Languages : en
Pages : 353
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Book Description
Author: Norman T. Hamilton
Publisher: Courier Dover Publications
ISBN: 0486830470
Category : Mathematics
Languages : en
Pages : 289
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Book Description
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: Moshe Machover
Publisher: Cambridge University Press
ISBN: 9780521479981
Category : Mathematics
Languages : en
Pages : 304
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Book Description
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: C.J. Ash
Publisher: Elsevier
ISBN: 0080529526
Category : Mathematics
Languages : en
Pages : 363
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Book Description
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: Azriel Levy
Publisher: Courier Corporation
ISBN: 0486150739
Category : Mathematics
Languages : en
Pages : 418
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Book Description
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: Alexander Kechris
Publisher: Springer Science & Business Media
ISBN: 1461241901
Category : Mathematics
Languages : en
Pages : 419
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Book Description
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: W. Marek
Publisher: Springer
ISBN: 3540381228
Category : Mathematics
Languages : en
Pages : 344
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Book Description
