Abstract Set Theory
Thoralf A. Skolem
Notre Dame Mathematical Lectures, Number 8
Notre Dame, Indiana : University of Notre Dame, 1962.
1st
70 pp.
Subjects:
Set theory02.60
Permanent link to this monograph: http://projecteuclid.org/euclid.ndml/1175197470
Mathmatical Reviews number (MathSciNet):
MR0156776Copyright © 1962, University of Notre Dame.
Title and Copyright Pages
i-ii
Chapter 1: Historical remarks; Outlines of Cantor's theory
1-6
Chapter II: Ordered sets; A theorem of Hausdorff
7-11
Chapter III: Axiomatic set theory; Axioms of Zermelo and Fraenkel
12-19
Chapter IV: The well-ordering theorem
19-22
Chapter V: Ordinals and alephs
22-28
Chapter VI: Some remarks on functions of ordinal numbers
28-32
Chapter VII: On the exponentiation of alephs
32-34
Chapter VIII: Set representing ordinals
35-37
Chapter IX: The notions "finite" and "infinite"
38-41
Chapter X: The simple infinite sequence; Development of arithmetic
41-44
Chapter XI: Some remarks on the nature of the set-theoretic axioms; The set-theoretic relativism
45-47
Chapter XII: The simple theory of types
48-50
Chapter XIII: The theory of Quine
50-52
Chapter XIV: The ramified theory of types. Predicative set theory
52-61
Chapter XV: Lorenzen's operative mathematics
61-64
Chapter XVI: Some remarks on intuitionist mathematics
64-68
Chapter XVII: Mathematics without quantifiers
68-69
Chapter XVIII: The possibility of set theory based on many-valued logic
69-70
