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Set Theory and Its Logic
GENERAL VARIABLES AND ZERMELO
monograph
Publication date:
June 30 2009
Publisher:
Harvard University Press
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Chinese General Practice
Author and book information
Book Chapter
Publication date:
June 30 2009
Pages
: 266-286
DOI:
10.2307/j.ctv1smjv3j.17
SO-VID:
9ae614af-bc18-4288-889a-59dcc4cc7eea
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Book chapters
pp. i
Frontmatter
pp. i
Front Matter
pp. ix
PREFACE TO THE FIRST EDITION
pp. ix
PREFACE TO THE FIRST EDITION
pp. vii
PREFACE TO THE REVISED EDITION
pp. vii
PREFACE TO THE REVISED EDITION
pp. xv
CONTENTS
pp. xv
Table of Contents
pp. 1
INTRODUCTION
pp. 1
INTRODUCTION
pp. 9
LOGIC
pp. 9
I LOGIC
pp. 28
II REAL CLASSES
pp. 28
REAL CLASSES
pp. 47
III CLASSES OF CLASSES
pp. 47
CLASSES OF CLASSES
pp. 74
NATURAL NUMBERS
pp. 74
IV NATURAL NUMBERS
pp. 96
ITERATION AND ARITHMETIC
pp. 96
V ITERATION AND ARITHMETIC
pp. 119
VI REAL NUMBERS
pp. 119
REAL NUMBERS
pp. 139
ORDER AND ORDINALS
pp. 139
VII ORDER AND ORDINALS
pp. 174
VIII TRANSFINITE RECURSION
pp. 174
TRANSFINITE RECURSION
pp. 193
IX CARDINAL NUMBERS
pp. 193
CARDINAL NUMBERS
pp. 217
THE AXIOM OF CHOICE
pp. 217
X THE AXIOM OF CHOICE
pp. 241
XI RUSSELL'S THEORY OF TYPES
pp. 241
RUSSELL’S THEORY OF TYPES
pp. 266
XII GENERAL VARIABLES AND ZERMELO
pp. 266
GENERAL VARIABLES AND ZERMELO
pp. 287
STRATIFICATION AND ULTIMATE CLASSES
pp. 287
XIII STRATIFICATION AND ULTIMATE CLASSES
pp. 310
VON NEUMANN’S SYSTEM AND OTHERS
pp. 310
XIV VON NEUMANN'S SYSTEM AND OTHERS
pp. 331
SYNOPSIS OF FIVE AXIOM SYSTEMS
pp. 331
SYNOPSIS OF FIVE AXIOM SYSTEMS
pp. 333
LIST OF NUMBERED FORMULAS
pp. 333
LIST OF NUMBERED FORMULAS
pp. 343
BIBLIOGRAPHICAL REFERENCES
pp. 343
BIBLIOGRAPHICAL REFERENCES
pp. 353
INDEX
pp. 353
INDEX
pp. 362
Back Matter
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