**Notes on Set Theory**

by Michael Makkai

**Publisher**: McGill University 2000**Number of pages**: 440

**Description**:

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; Cardinal numbers; Cardinal arithmetic; Regular cardinals; Models of the axioms of set theory; Inaccessible cardinals; The Boole/Stone algebra of sets.

Download or read it online for free here:

**Download link 1**

**Download link 2**

**Download link 3**

(multiple PDF files)

## Similar books

**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.

(

**8867**views)

**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.

(

**5181**views)

**The Continuum and Other Types of Serial Order**

by

**Edward V. Huntington**-

**Dover Publications**

This classic of mathematics presents the best systematic elementary account of the modern theory of the continuum as a type of serial order. Based on the Dedekind-Cantor ordinal theory, it requires no knowledge of higher mathematics.

(

**7549**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.

(

**9249**views)