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    Carmelics

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    Stewart Shapiro — Carmelics
    Thinkers/Stewart Shapiro
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    Stewart Shapiro

    contemporaryAnalytic Philosophy

    b. 1951

    Stewart Shapiro (b. 1951) is an American philosopher at Ohio State University, best known for developing ante rem structuralism — the view that mathematical structures exist independently of any systems that instantiate them. He has made major contributions to philosophy of mathematics, philosophy of logic, and the theory of vagueness.

    WWikipedia

    Notable Achievements

    1

    Developed ante rem structuralism as a major position in philosophy of mathematics

    2

    Authored 'Foundations without Foundationalism' (1991), a sustained defense of second-order logic

    3

    Authored 'Philosophy of Mathematics: Structure and Ontology' (1997), a landmark text in the field

    4

    Developed a contextualist approach to vagueness in 'Vagueness in Context' (2006)

    5

    Extensive editorial and scholarly contributions to philosophy of logic and mathematics

    Positions & Arguments(4)

    Philosophy of Language

    claim

    Boethius' observations on genus and species may be the historical precursor of the containment principle (Co)

    claim

    An epistemicist must assign some small probability to each hypothesis that identifies a particular numerical threshold for oldness.

    Truth & Knowledge

    claim

    For any real number x, the terms of a conditionally convergent series can be rearranged so that x is the sum of the rearranged series.

    claim

    Katz's argument by elimination for platonism fails

    Skepticism

    claim

    Katz's argument by elimination for platonism fails

    At a Glance

    Ideas

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    Topics

    3

    Era

    contemporary

    Tradition

    Analytic Philosophy

    Topic Influence

    Truth & Knowledge2
    Philosophy of Language2
    Skepticism1

    Related Thinkers

    David Lewis3 sharedImmanuel Kant3 sharedBertrand Russell3 sharedBrian Skyrms3 sharedDavid Hume3 sharedStathis Psillos3 sharedAristotle3 sharedBas van Fraassen3 shared

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