**Set Theory**

by Gary Hardegree

**Publisher**: UMass Amherst 2003

**Description**:

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.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**Proof, Sets, and Logic**

by

**M. Randall Holmes**-

**Boise State University**

This textbook is intended to communicate something about proof, sets, and logic. It is about the foundations of mathematics, a subject which results when mathematicians examine the subject matter and the practice of their own subject very carefully.

(

**9898**views)

**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.

(

**5305**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.

(

**4861**views)

**Elementary Set Theory with a Universal Set**

by

**Randall Holmes**

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.

(

**7208**views)