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
Abstract Set Theoryby 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.
(8158 views)
Notes on Set Theoryby 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.
(8008 views)
Elementary Set Theory with a Universal Setby 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.
(6948 views)
An Introduction to Set Theoryby William A. R. Weiss - University of Toronto
These notes for a graduate course in set theory cover the axioms of set theory, the natural numbers, the ordinal numbers, relations and orderings, cardinality, the real numbers, the universe, reflection, elementary submodels, and constructibility.
(14069 views)