Axiomatic Set Theory

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Courier Corporation, 1 janv. 1972 - 267 pages
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This clear and well-developed approach to axiomatic set theory is geared toward upper-level undergraduates and graduate students. It examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, finite sets and cardinal numbers, rational and real numbers, and other subjects. 1960 edition.
 

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Table des matières

INTRODUCTION
1
GENERAL DEVELOPMENTS
14
RELATIONS AND FUNCTIONS
57
EQUIPOLLENCE FINITE SETS AND CARDINAL NUMBERS
91
FINITE ORDINALS AND DENUMERABLE SETS
127
RATIONAL NUMBERS AND REAL NUMBERS
159
TRANSFINITE INDUCTION AND ORDINAL ARITHMETIC
195
THE AXIOM OF CHOICE
239
Droits d'auteur

Autres éditions - Tout afficher

Axiomatic Set Theory
Patrick Suppes
Aperçu limité - 2012

Expressions et termes fréquents

abstraction addition appropriate asserts axiom of choice axiom schema basis bound cardinal numbers Cauchy sequence Chapter clear complete conclude conditional connected consider construction corresponding define definition denumerable domain empty equipollent equivalence establish example exercise existence fact finite cardinal finite sets formulation fractions function Give given Hence holds hypothesis idea identity immediate implies infer infinite integer introduced intuitive language less limit ordinal logic mathematics maximal element multiplication natural numbers non-empty notation Note notion object obvious operation pairs paradox partition preceding primitive proof proper Prove Theorem range rational numbers real numbers recursion relation replacement requires respect result satisfy schema of separation sequences of rational set theory similar simple subset Suppose symbols Theorem 27 transitive union unique variables virtue of Theorem well-orders whence

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Informations bibliographiques

QR code for Axiomatic Set Theory
TitreAxiomatic Set Theory
Dover Books on Mathematics Series
Dover Books on advanced mathematics
University series in undergraduate mathematics
AuteurPatrick Suppes
Éditionintégrale, réimprimée, révisée
ÉditeurCourier Corporation, 1972
ISBN0486616304, 9780486616308
Longueur267 pages
  
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