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Set Theory and Its Philosophy : A Critical Introduction by Michael Potter (2004,
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Set Theory and Its Philosophy : A Critical Introduction by Michael Potter (2004,
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Set Theory and Its Philosophy : A Critical Introduction by Michael Potter (2004,

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    eBay item number:177162805704
    Last updated on Jun 20, 2025 19:34:01 EDTView all revisionsView all revisions

    Item specifics

    Condition
    Good: A book that has been read but is in good condition. Very minimal damage to the cover including ...
    ISBN
    9780199270415

    About this product

    Product Identifiers

    Publisher
    Oxford University Press, Incorporated
    ISBN-10
    0199270414
    ISBN-13
    9780199270415
    eBay Product ID (ePID)
    30220991

    Product Key Features

    Number of Pages
    360 Pages
    Language
    English
    Publication Name
    Set Theory and Its Philosophy : a Critical Introduction
    Publication Year
    2004
    Subject
    Logic, Set Theory
    Type
    Textbook
    Author
    Michael Potter
    Subject Area
    Mathematics, Philosophy
    Format
    Uk-Trade Paper

    Dimensions

    Item Height
    0.7 in
    Item Weight
    18.5 Oz
    Item Length
    9.2 in
    Item Width
    6.1 in

    Additional Product Features

    Intended Audience
    Scholarly & Professional
    LCCN
    2004-298369
    Dewey Edition
    22
    Reviews
    "Michael Potter has given us a wonderful new book. The mathematics are extremely clearly presented, it's an easy book to learn from. Potter is very good at explaining the motivations-both philosophical and technical-for various bits of mathematics, so one never has the feeling of wading through long pages of pointless technical minutiae. It is a rewarding read even for those who don't intend to follow all the technical details. Potter's book provides a great introduction to set theory and its philosophy, he has written the best philosophical introduction on the market." --Notre DamePhilosophical Reviews, "Michael Potter has given us a wonderful new book. The mathematics are extremely clearly presented, it's an easy book to learn from. Potter is very good at explaining the motivations-both philosophical and technical-for various bits of mathematics, so one never has the feeling of wading through long pages of pointless technical minutiae. It is a rewarding read even for those who don't intend to follow all the technical details. Potter's book provides a great introduction to set theory and its philosophy, he has written the best philosophical introduction on the market." --Notre Dame Philosophical Reviews
    Illustrated
    Yes
    Dewey Decimal
    511.3/22
    Table Of Content
    I. Sets1. Logic2. Collections3. The hierarchy4. The theory of sets5. ClassesII. Numbers6. Arithmetic7. Counting8. Lines9. Real numbersIII. Cardinals and Ordinals10. Cardinals11. Basic cardinal arithmetic12. Ordinals13. Ordinal aritmeticIV. Further axioms14. Orders of infinity15. The axiom of choice16. Further cardinal arithmetic
    Synopsis
    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. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science., 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 the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels.What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.
    LC Classification Number
    QA248

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