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Notes on Set Theory by Michael Makkai
 
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Ebooks May 24, 2022 3

Ebook Details

Author
Michael Makkai
Publisher
McGill University 2000
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.
Proof, Sets, and Logic by M. Randall Holmes
 
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Ebooks May 24, 2022 3

Ebook Details

Author
M. Randall Holmes
Publisher
Boise State University 2009
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.
 
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Ebooks May 24, 2022 5

Ebook Details

Author
Randall Holmes
Publisher
2005
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.
Set Theory by Gary Hardegree
 
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Ebooks May 23, 2022 6

Ebook Details

Author
Gary Hardegree
Publisher
UMass Amherst 2003
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.
Set Theory by Gary Hardegree
 
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Ebooks May 23, 2022 3

Ebook Details

Author
Gary Hardegree
Publisher
UMass Amherst 2003
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.
Abstract Set Theory by Thoralf A. Skolem
 
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Ebooks May 23, 2022 3

Ebook Details

Author
Thoralf A. Skolem
Publisher
University of Notre Dame 1962
The book contains a series of lectures on abstract set theory given at the University of Notre Dame during the Fall Semester 1957-58. After some historical remarks the chief ideas of Cantor's theory.
Axiomatic Set Theory by Michael Meyling
 
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Ebooks May 23, 2022 4

Ebook Details

Author
Michael Meyling
Publisher
2011
This document contains the mathematical foundation of set theory. Goal is the presentation of elementary results which are needed in other mathematical disciplines. Although the presentation is axiomatic the results shall match the mathematical usage.
The Continuum and Other Types of Serial Order by Edward V. Huntington
 
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Ebooks May 20, 2022 2

Ebook Details

Author
Edward V. Huntington
Publisher
Dover Publications 1917
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. Includes 119 footnotes, mostly bibliographical.
Axiomatic Set Theory I by A. C. Walczak-Typke
 
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Ebooks May 18, 2022 3

Ebook Details

Author
A. C. Walczak-Typke
Publisher
2009
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.
Descriptive Set Theory by Yiannis N. Moschovakis
 
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Ebooks May 18, 2022 3

Ebook Details

Author
Yiannis N. Moschovakis
Publisher
American Mathematical Society 2009
Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined, and so can be expected to have special properties not enjoyed by arbitrary pointsets. This monograph develops Descriptive Set Theory systematically,
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