Elementary Set Theory with a Universal Set
by Randall Holmes
2005
Number of pages: 240
Description:
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; Operations on Functions; The Natural Numbers; The Real Numbers; The Axiom of Choice; Ordinal Numbers; Cardinal Numbers; etc.
Download or read it online for free here:
Download link
(780KB, PDF)
Similar books
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.
(19642 views)
Set Theoryby 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.
(14580 views)
Axiomatic Set Theoryby Michael Meyling
This document contains the mathematical foundation of set theory. Goal is the presentation of elementary results which are needed in other disciplines. Although the presentation is axiomatic the results shall match the mathematical usage.
(11123 views)
Axiomatic Set Theory Iby 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.
(9845 views)