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Localization and Iteration of Axiomatic Set Theory

Localization and Iteration of Axiomatic Set Theory PDF Author: Arthur H. Kruse
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 236

Book Description

Localization and Iteration of Axiomatic Set Theory

Localization and Iteration of Axiomatic Set Theory PDF Author: Arthur H. Kruse
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 236

Book Description

Localization and iteration of axiomatic set theory

Localization and iteration of axiomatic set theory PDF Author: Arthur H. Kruse
Publisher:
ISBN:
Category : Axiomatic set theory
Languages : en
Pages :

Book Description

Localization and Iteration of Axiomatic Set Theory

Localization and Iteration of Axiomatic Set Theory PDF Author: Arthur H. Kruse
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 232

Book Description

Axiomatic Set Theory

Axiomatic Set Theory PDF Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 0080957412
Category : Computers
Languages : en
Pages : 235

Book Description
Axiomatic Set Theory

Introduction to Set Theory and Topology

Introduction to Set Theory and Topology PDF Author: Kazimierz Kuratowski
Publisher: Elsevier
ISBN: 1483151638
Category : Mathematics
Languages : en
Pages : 353

Book Description
Introduction to Set Theory and Topology describes the fundamental concepts of set theory and topology as well as its applicability to analysis, geometry, and other branches of mathematics, including algebra and probability theory. Concepts such as inverse limit, lattice, ideal, filter, commutative diagram, quotient-spaces, completely regular spaces, quasicomponents, and cartesian products of topological spaces are considered. This volume consists of 21 chapters organized into two sections and begins with an introduction to set theory, with emphasis on the propositional calculus and its application to propositions each having one of two logical values, 0 and 1. Operations on sets which are analogous to arithmetic operations are also discussed. The chapters that follow focus on the mapping concept, the power of a set, operations on cardinal numbers, order relations, and well ordering. The section on topology explores metric and topological spaces, continuous mappings, cartesian products, and other spaces such as spaces with a countable base, complete spaces, compact spaces, and connected spaces. The concept of dimension, simplexes and their properties, and cuttings of the plane are also analyzed. This book is intended for students and teachers of mathematics.

Axiomatic Set Theory, Part 2

Axiomatic Set Theory, Part 2 PDF Author: Thomas J. Jech
Publisher: American Mathematical Soc.
ISBN: 0821802461
Category : Axiomatic set theory
Languages : en
Pages : 232

Book Description

Axiomatic Set Theory

Axiomatic Set Theory PDF Author: Patrick Suppes
Publisher: Courier Corporation
ISBN: 0486136876
Category : Mathematics
Languages : en
Pages : 290

Book Description
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.

Introduction to Axiomatic Set Theory

Introduction to Axiomatic Set Theory PDF Author: J.L. Krivine
Publisher: Springer Science & Business Media
ISBN: 9401031444
Category : Philosophy
Languages : en
Pages : 108

Book Description
This book presents the classic relative consistency proofs in set theory that are obtained by the device of 'inner models'. Three examples of such models are investigated in Chapters VI, VII, and VIII; the most important of these, the class of constructible sets, leads to G6del's result that the axiom of choice and the continuum hypothesis are consistent with the rest of set theory [1]I. The text thus constitutes an introduction to the results of P. Cohen concerning the independence of these axioms [2], and to many other relative consistency proofs obtained later by Cohen's methods. Chapters I and II introduce the axioms of set theory, and develop such parts of the theory as are indispensable for every relative consistency proof; the method of recursive definition on the ordinals being an import ant case in point. Although, more or less deliberately, no proofs have been omitted, the development here will be found to require of the reader a certain facility in naive set theory and in the axiomatic method, such e as should be achieved, for example, in first year graduate work (2 cycle de mathernatiques).

Philosophical Introduction to Set Theory

Philosophical Introduction to Set Theory PDF Author: Stephen Pollard
Publisher: Courier Dover Publications
ISBN: 0486797147
Category : Mathematics
Languages : en
Pages : 196

Book Description
This unique approach maintains that set theory is the primary mechanism for ideological and theoretical unification in modern mathematics, and its technically informed discussion covers a variety of philosophical issues. 1990 edition.

Introduction to Axiomatic Set Theory

Introduction to Axiomatic Set Theory PDF Author: Edward John Lemmon
Publisher:
ISBN:
Category : Axiomatic set theory
Languages : en
Pages : 156

Book Description

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