**Proof, Sets, and Logic**

by M. Randall Holmes

**Publisher**: Boise State University 2009**Number of pages**: 207

**Description**:

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.

Download or read it online for free here:

**Download link**

(750KB, PDF)

## Similar books

**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.

(

**13293**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.

(

**12443**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.

(

**9092**views)

**Sets, Groups and Knots**

by

**Curtis T. McMullen**-

**Harvard University**

Introduction to conceptual and axiomatic mathematics, the writing of proofs, mathematical culture, with sets, groups and knots as topics. From the table of contents: Introduction; Set Theory; Group Theory; Knot Theory; Summary.

(

**8504**views)