Axiomatic set theory

by Suppes, Patrick

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Title Statements

Full title :Axiomatic set theory, / by Patrick Suppes.

Edition Statements

Publication Date:1972

Publication Statements

Publisher(s):Dover Publications
Place of Publication:New York
Language:eng
Publication Date:1972

Notes

Reprint of the 1960 ed., issued in series: The University series in undergraduate mathematics.

The Physical Object

Description:xii, 267 pages : 22 cm.

Edition Identifiers

ISBN:0486616304, 9780486616308
oclc:ocm00570574
LC Classification:QA248
Dewey Decimal:511/.3

Machine derived contents note: 1. Introduction -- 1.1 Set Theory and the Foundations of Mathematics -- 1.2 Logic and Notation -- 1.3 Axiom Schema of Abstraction and Russell's Paradox -- 1.4 More Paradoxes -- 1.5 Preview of Axioms -- 2. General Developments -- 2.1 Preliminaries: Formulas and Definitions -- 2.2 Axioms of Extensionality and Separation -- 2.3 "Intersection, Union, and Difference of Sets " -- 2.4 Pairing Axiom and Ordered Pairs -- 2.5 Definition by Abstraction -- 2.6 Sum Axiom and Families of Sets -- 2.7 Power Set Axiom -- 2.8 Cartesian Product of Sets -- 2.9 Axiom of Regularity -- 2.10 Summary of Axioms -- 3. Relations And Functions -- 3.1 Operations on Binary Relations -- 3.2 Ordering Relations -- 3.3 Equivalence Relations and Partitions -- 3.4 Functions -- 4. "Equipollence, Finite Sets, And Cardinal Numbers " -- 4.1 Equipollence -- 4.2 Finite Sets -- 4.3 Cardinal Numbers -- 4.4 Finite Cardinals -- 5. Finite Ordinals And Denumerable Sets -- 5.1 Definition and General Properties of Ordinals -- 5.2 Finite Ordinals and Recursive Definitions -- 5.3 Denumerable Sets -- 6. Rational Numbers And Real Numbers -- 6.1 Introduction -- 6.2 Fractions -- 6.3 Non-negative Rational N…