Axiomatic Set Theory

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Courier Dover Publications, 1972 - 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 (1972)

Maria Carla Galavotti is professor of philosophy of science in the department of philosophy at the University of Bologna.
Roberto Scazzieri is professor of economic analysis in the department of economics at the University of Bologna.
Patrick Suppes is Lucie Stern professor emeritus of philosophy at Stanford University.

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