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Lectures in logic and set theory Mathematical logic by George J. Tourlakis

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Published by Cambridge University Press in Cambridge .
Written in English

Subjects:

  • Set theory,
  • MATHEMATICS,
  • Symbolic and mathematical Logic,
  • Infinity,
  • Logic

Book details:

Edition Notes

Description based on print version record.

StatementGeorge Tourlakis
SeriesCambridge studies in advanced mathematics -- 82, Cambridge studies in advanced mathematics -- 82.
Classifications
LC ClassificationsQA9.2 T68eb vol. 1
The Physical Object
Format[electronic resource] /
Pagination1 online resource (1 v.)
ID Numbers
Open LibraryOL27070044M
ISBN 100511066589
ISBN 109780511066580
OCLC/WorldCa57067051

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Book description This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in Cited by: Set Theory by Burak Kaya. This note explains the following topics: The language of set theory and well-formed formulas, Classes vs. Sets, Notational remarks, Some axioms of ZFC and their elementary, Consequences, From Pairs to Products, Relations, Functions, Products and sequences, Equivalence Relations and Order Relations, Equivalence relations, partitions and . This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or by: Introduction to Logic and Set Theory General Course Notes December 2, These notes were prepared as an aid to the student. They are not guaran-teed to be comprehensive of the material covered in the course. These notes were prepared using notes from the course taught by Uri Avraham, Assaf Hasson, and of course, Matti Rubin.

and limitations of algorithmic processes), and set theory. The fact that the last-mentioned will totally occupy our attention in volume 2 is reflected in the prominence of the term in the title of these lectures. It also reflects a tendency, even today, to think of set theory as a branch in its own right, rather than as anCited by: Set Theory and Logic: Fundamental Concepts (Notes by Dr. J. Santos) A Primitive Concepts. In mathematics, the notion of a set is a primitive notion. That is, we admit, as a starting point, the existence of certain objects (which we call sets), which . Lectures in logic and set theory / George Tourlakis. p. cm. – (Cambridge studies in advanced mathematics) Includes bibliographical references and index. Contents: v. 1. Mathematical logic – v. 2. Set theory. ISBN (v. 1) – ISBN (v. 2) 1. Logic, Symbolic and mathematical. 2. Set theory. I. Title. II. Series. QA9. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle .

LECTURES ON SET THEORY J. Donald Monk Ma i. Preface Logic Elementary set theory forcing, I infinite combinatorics PCF forcing, II P(ω)/fin v. 1. Sentential logic We go into the mathematical theory of the simplest logical notions: the meaning of “and”. Chapter 1 Logic and Set Theory To criticize mathematics for its abstraction is to miss the point entirely. Abstraction is what makes mathematics work. If you concentrate too closely on too limited an application of a mathematical idea, you rob the mathematician of his most important tools: analogy, generality, and simplicity. – Ian StewartFile Size: KB. Lectures in Logic and Set Theory Volume 2: Set theory. Cambridge Studies in Advanced Mathematics 83 by George Tourlakis and a great selection of related books, art and collectibles available now at However if you really want to have a book which develops the concepts of set theory in detail, I suggest you to take a look at Fraenkel's Abstract Set Theory also. For more details see this answer. Furthermore if you have any philosophical questions concerning set theory, feel free to ask me here in this room. $\endgroup$ – user Nov 5.