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Abstract Set Theory

Author(s) Thoralf A. Skolem

Notre Dame Math. Lectures, 8: 70pp. (1962).
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University of Notre Dame
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Title and Copyright Pages
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, i-ii (1962).
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Preface
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, iii-iii (1962).
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Table of Contents
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, v-v (1962).
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Chapter 1: Historical remarks; Outlines of Cantor's theory
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 1-6 (1962).
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Chapter II: Ordered sets; A theorem of Hausdorff
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 7-11 (1962).
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Chapter III: Axiomatic set theory; Axioms of Zermelo and Fraenkel
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 12-19 (1962).
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Chapter IV: The well-ordering theorem
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 19-22 (1962).
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Chapter V: Ordinals and alephs
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 22-28 (1962).
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Chapter VI: Some remarks on functions of ordinal numbers
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 28-32 (1962).
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Chapter VII: On the exponentiation of alephs
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 32-34 (1962).
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Chapter VIII: Set representing ordinals
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 35-37 (1962).
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Chapter IX: The notions "finite" and "infinite"
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 38-41 (1962).
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Chapter X: The simple infinite sequence; Development of arithmetic
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 41-44 (1962).
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Chapter XI: Some remarks on the nature of the set-theoretic axioms; The set-theoretic relativism
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 45-47 (1962).
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Chapter XII: The simple theory of types
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 48-50 (1962).
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Chapter XIII: The theory of Quine
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 50-52 (1962).
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Chapter XIV: The ramified theory of types. Predicative set theory
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 52-61 (1962).
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Chapter XV: Lorenzen's operative mathematics
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 61-64 (1962).
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Chapter XVI: Some remarks on intuitionist mathematics
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 64-68 (1962).
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Chapter XVII: Mathematics without quantifiers
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 68-69 (1962).
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Chapter XVIII: The possibility of set theory based on many-valued logic
Thoralf A. Skolem
Notre Dame Mathematical Lectures Vol. 8, 69-70 (1962).
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