**Axiomatic Set Theory I**

by A. C. Walczak-Typke

2009**Number of pages**: 128

**Description**:

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.

Download or read it online for free here:

**Download link**

(730KB, PDF)

## Similar books

**Descriptive Set Theory**

by

**David Marker**-

**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.

(

**10517**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.

(

**14941**views)

**Notes on Set Theory**

by

**Michael Makkai**-

**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.

(

**13962**views)

**Abstract Set Theory**

by

**Thoralf A. Skolem**-

**University of Notre Dame**

The book contains a series of lectures on abstract set theory given at the University of Notre Dame. After some historical remarks the chief ideas of the naive set theory are explained. Then the axiomatic theory of Zermelo-Fraenkel is developed.

(

**14313**views)