Axiomatic Set Theory

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Courier Corporation, 1960 - Mathematics - 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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Contents

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
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About the author (1960)

Patrick Suppes (1922-2014) was the Lucie Stern Professor of Philosophy, Emeritus at Stanford University. He was the founder of the Computer Curriculum Corporation and the Suppes Brain Lab at Stanford, as well as the co-founder of the Institute for Mathematical Studies in Social Sciences.

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