Logo

Abstract Set Theory by Thoralf A. Skolem

Small book cover: Abstract Set Theory

Abstract Set Theory
by

Publisher: University of Notre Dame
ISBN/ASIN: 026800000X
ISBN-13: 9780268000004
Number of pages: 70

Description:
The book contains a series of lectures on abstract set theory given at the University of Notre Dame during the Fall Semester 1957-58. After some historical remarks the chief ideas of Cantor's theory, now usually called the naive set theory, are explained. Then the axiomatic theory of Zermelo-Fraenkel is developed and some critical remarks added.

Home page url

Download or read it online for free here:
Download link
(multiple PDF files)

Similar books

Book cover: Axiomatic Set Theory IAxiomatic Set Theory I
by
From the table of contents: Learning to Speak; The Axioms of Set Theory; Orders and Ordinals; Cardinal Numbers; The Axiom of Regularity; Some Consistency Results; Goedel's Constructible Universe L; Independence of AC from ZFU; Forcing.
(5181 views)
Book cover: Elementary Set Theory with a Universal SetElementary Set Theory with a Universal Set
by
From the table of contents: The Set Concept; Boolean Operations on Sets; Building Finite Structures; The Theory of Relations; Sentences and Sets; Stratified Comprehension; Philosophical Interlude; Equivalence and Order; Introducing Functions; etc.
(7632 views)
Book cover: Notes on Set TheoryNotes on Set Theory
by - McGill University
Contents: Sets and classes; The universe of pure sets; Further principles of set-construction; Natural numbers and ordinals; Well-founded Relations and recursion; Indexing by ordinals and the axiom of choice; Well-orderings; Zorn's lema; etc.
(8708 views)
Book cover: Descriptive Set TheoryDescriptive Set Theory
by - University of Illinois at Chicago
These are informal notes for a course in Descriptive Set Theory. While I hope to give a fairly broad survey of the subject we will be concentrating on problems about group actions, particularly those motivated by Vaught's conjecture.
(5748 views)