Philosophical introduction to set theory.

  • 192 Pages
  • 0.31 MB
  • 3604 Downloads
  • English
by
University of Notre Dame Press
Set th
Classifications
LC ClassificationsQA248
The Physical Object
Pagination(192)p.
ID Numbers
Open LibraryOL21226563M
ISBN 100268015848, 0268015856

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The NOOK Book (eBook) of the Philosophical Introduction to Set Theory by Stephen Pollard at Barnes & Noble. FREE Shipping on $35 or more. Due to COVID, orders may be : Philosophical Introduction to Set Theory (Dover Books on Mathematics) - Kindle edition by Pollard, Stephen.

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book reading Philosophical Introduction to Set Theory (Dover Books on Mathematics)/5(2). In Set Theory and Its Philosophy, Michael Potter has given us a wonderful new core is a (slightly non-standard) development of axiomatic set theory, starting with the concept of a collection and working up through the axiom of choice and some simple cardinal arithmetic—enough to understand the statement and significance of the continuum hypothesis, but not enough to appreciate the.

Philosophical Introduction to Set Theory (Book Review) Abstract Reviewed Title:Philosophical Introduction to Set Theoryby Stephen Publications,pp.

ISBN: Keywords book review, Philosophical Introduction to Set Theory, Stephen PollardAuthor: Calvin Jongsma. Philosophical introduction to set theory. Notre Dame: University of Notre Dame Press, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Stephen Pollard.

This unique approach maintains that set theory is the primary mechanism for ideological and theoretical unification in modern mathematics, and its technically informed discussion covers a variety of philosophical issues.

Clearly written and frequently cited in the mathematical literature, this book appeals to students and scholars in many areas of philosophy and mathematics. edition. 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. Stephen Pollard’s Philosophical Introduction to Set Theory, republished 25 years later in an inexpensive Dover paperback edition, shows no sympathy for connecting school mathematics to set theory; its emphasis goes in the other direction.

Pollard repudiates the idea that being familiar with everyday collections, as promoted by New Math. Get this from a library. Philosophical introduction to set theory. [Stephen Pollard] -- The primary mechanism for ideological and theoretical unification in modern mathematics, set theory forms an essential element of any comprehensive treatment of the philosophy of mathematics.

This. This unique approach to set theory offers a technically informed discussion that covers a variety of philosophical issues. Rather than focusing on intuitionist and constructive alternatives to the Cantorian/Zermelian tradition, the author examines the two most important aspects of the current philosophy of mathematics, mathematical 1/5(1).

Set Theory by Anush Tserunyan. This note is an introduction to the Zermelo–Fraenkel set theory with Choice (ZFC).

Topics covered includes: The axioms of set theory, Ordinal and cardinal arithmetic, The axiom of foundation, Relativisation, absoluteness, and reflection, Ordinal definable sets and inner models of set theory, The constructible universe L Cohen's method of forcing, Independence.

Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart.

What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique.

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Philosophical Introduction to Set Theory. by Stephen Pollard. Dover Books on Mathematics. Share your thoughts Complete your review.

Tell readers what you thought by rating and reviewing this book. Rate it Brand: Dover Publications. A Book of Set Theory, first published by Dover Publications, Inc., inis a revised and corrected republication of Set Theory, originally published in by Addison-Wesley Publishing Company, Reading, Massachusetts.

This book has been reprinted with. - Buy Philosophical Introduction to Set Theory book online at best prices in India on Read Philosophical Introduction to Set Theory book reviews & author details and more at Free delivery on qualified orders.1/5(1). A taste of set theory for philosophers Jouko V¨aan¨ anen¨ 1 Introduction Originally set theory was a theory of infinity, an attempt to understand infinity in ex-act terms.

Later it became a universal language for mathematics and an attempt to Journal of the Indian Council of. Reviewed Title: Philosophical Introduction to Set Theory by Stephen Pollard. Dover Publications,pp. ISBN: Author: Calvin Jongsma.

This book presents a philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart.

The book offers an account of cardinal and ordinal arithmetic, and the various axiom candidates. It discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in.

Notre Dame J. Formal Logic; Vol Number 1 (), Book review: Stephen Pollard. Philosophical introduction to set theory. Mary Tiles. ( views) Abstract Set Theory by 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. The reader will not only be provided with an introduction to classical logic, but to philosophical (modal, epistemic, deontic, temporal) and intuitionistic logic as well.

The first chapter is an easy to read non-technical Introduction to the topics in the book. Michael Potter presents a comprehensive new philosophical introduction to set theory.

Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret.

> Question: What's the best introduction to philosophy. Details: So, basically, I see philosophical terms in the reviews In the book, television and movies reviews I read. There's one thing most of these reviews seem to have, it's a term like exi. One of her publications is the book The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise.

As the subtitle suggests, it is an example of a book that treats the philosophy of mathematics as inseparable from historical concerns. Philosophical Introduction to Set Theory Dover Books on Mathematics by Stephen This unique approach to set theory offers a technically informed discussion that covers a variety of philosophical issues.

Rather than focusing on intuitionist and constructive alternatives to the Cantorian/Zermelian tradition, the author examines the two most.

Philosophical introduction to set theory by Pollard, Stephen. Publication date Topics Set theory Collection_set trent Foldoutcount 0 Identifier philosophicalintpoll Identifier-ark ark://t3sv5c Invoice Borrow this book to access EPUB and PDF files.

IN COLLECTIONS. Books to : To understand the philosophical significance of set theory, it will help to have some sense of why set theory arose at all. To un-derstand that, it will help to think a little bit about the history and mythology of mathematics.

So, before we get started on dis-cussing set theory at File Size: 3MB. If, you are up to the challenge of technical and philosophical exploration of the infinite, the continuum hypothesis, and set theory, you may find the book interesting. If you are naive to any of these topics, it is definitely not a book for you.

If, you lay somewhere in between like me, it may be a fifty-fifty proposition/5(7). SECTION ELEMENTARY OPERATIONS ON SETS 3 Proof.

Let Xbe an arbitrary set; then there exists a set Y Df u2 W – g. Obviously, Y X, so 2P.X/by the Axiom of Powerthen we have Y2 if and only if – [SeeExercise 3(a)]. This proves that P.X/“X, and P.X/⁄Xby the Axiom of Extensionality. t IExercise 7 (). The Axiom of Pair, the Axiom of Union, and the Axiom ofFile Size: KB.

Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science. Excerpt This book was written for two groups of people, philosophically informed mathematicians with a serious interest in the philosophy of their subject, and philosophers with a serious interest in mathematics.Editorial team.

General Editors: David Bourget (Western Ontario) David Chalmers (ANU, NYU) Area Editors: David Bourget Gwen Bradford.Michael Potter presents a comprehensive new philosophical introduction to set theory.

Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates.