UID:
almafu_9958066802502883
Format:
1 online resource (213 p.)
Edition:
2nd ed.
ISBN:
1-281-76872-3
,
9786611768720
,
0-08-087427-4
Series Statement:
Pure and applied mathematics ; 108
Content:
A theory of sets
Note:
Includes indexes.
,
Front Cover; A Theory of Sets; Copyright Page; Contents; Foreword; Preface; Chapter 0. Language and Inference; Introduction; Free Variables and Formulas; Indicial and Accepted Variables; Rules of Inference; Theorems; Theory of Notation; Demonstrations; Chains; Chapter 1. Logic; Definitional Axioms for Logic; Axioms of Definition for Logic; Axioms for Logic; Supplementary Rules of Inference; Chapter 2. Set Theory; Preliminaries; Some Aspects of Equality; Classification; The Role of Replacement; Singletons; Ordered Pairs; Substitution; Unicity; Relations; Functions; Ordinals
,
Definition by InductionRegularity and Choice; Maximality; Well Ordering; Natural Numbers; Sequences; Reiteration; Fixed Sets and Bipartition; Equinumerosity; Cardinals; Cardinality; Cardinal Arithmetic; Direct Extensions; Families of Sets; Tuples; Appendix A. The Construction of Definitions; The Structure of Basic Forms; The Structure of Definitions; Adherence and Translatability; Appendix B. The Consistency of the Axiom of Size; Appendix C. Axiomatic Equivalence; Index of Constants; General Index
,
English
Additional Edition:
ISBN 0-12-507952-4
Language:
English
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