**Abstract Set Theory**

by Thoralf A. Skolem

**Publisher**: University of Notre Dame 1962**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.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**Axiomatic Set Theory I**

by

**A. C. Walczak-Typke**

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.

(

**9570**views)

**Set Theory**

by

**Gary Hardegree**-

**UMass Amherst**

From the table of contents: Basic material on set theory - Overview / Summary, Basic Concepts, Relations, Functions, Natural Numbers, Cardinal Numbers; Rules for Derivations; Formal Languages; Mathematical Induction; Brief History of Numeration.

(

**14263**views)

**Axiomatic Set Theory**

by

**Michael Meyling**

This document contains the mathematical foundation of set theory. Goal is the presentation of elementary results which are needed in other disciplines. Although the presentation is axiomatic the results shall match the mathematical usage.

(

**10840**views)

**Descriptive Set Theory**

by

**Yiannis N. Moschovakis**-

**American Mathematical Society**

This monograph develops Descriptive Set Theory from its classical roots to the modern 'effective' theory. The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results established since the 1980s.

(

**13870**views)