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Varieties of Constructive Mathematics

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Varieties of Constructive Mathematics

Varieties of Constructive Mathematics

Douglas Bridges, University of Buckingham
Fred Richman, New Mexico State University
May 2012
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9781139242134
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    Description

    This is an introduction to, and survey of, the constructive approaches to pure mathematics. The authors emphasise the viewpoint of Errett Bishop's school, but intuitionism. Russian constructivism and recursive analysis are also treated, with comparisons between the various approaches included where appropriate. Constructive mathematics is now enjoying a revival, with interest from not only logicans but also category theorists, recursive function theorists and theoretical computer scientists. This account for non-specialists in these and other disciplines.

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    May 2012
    Adobe eBook Reader
    9781139242134
    0 pages
    0kg
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

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    Related Journals

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    The Review of Symbolic Logic

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    The Review of Symbolic Logic is designed to cultivate research on theborders of logic, philosophy, and the sciences, and to supportsubstantive interactions between these disciplines. The journalwelcomes submissions in any of the following areas, broadly construed: - The general study of logical systems and their semantics,including non-classical logics and algebraic logic; - Philosophical logic and formal epistemology, including interactions with decision theory and game theory; - The history, philosophy, and methodology of logic and mathematics, including the history of philosophy of logic and mathematics; - Applications of logic to the sciences, such as computer science, cognitive science, and linguistics; and logical results addressing foundational issues in the sciences. The Review welcomes submissions in all these areas. (For informationon how to submit papers, see Guidelines below.) The Review beganpublication in June 2008.

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    Contents

    Table of Contents

    • 1. The foundations of constructive mathematics
    • 2. Constructive analysis
    • 3. Russian constructive mathematics
    • 4. Constructive algebra
    • 5. Intuitionism
    • 6. Contrasting varieties
    • 7. Intuitionistic logic and topos theory
    • Index.
      • Show more
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