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Frege and Hilbert on the Foundations of Geometry (1994 Talk)

Sterrett, Susan G. (1994) Frege and Hilbert on the Foundations of Geometry (1994 Talk). [Preprint]

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    Abstract

    I examine Frege�s explanation of how Hilbert ought to have presented his proofs of the independence of the axioms of geometry: in terms of mappings between (what we would call) fully interpreted statements. This helps make sense of Frege�s objections to the notion of different interpretations, which many have found puzzling. (The paper is the text of a talk presented in October 1994.)


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    Item Type: Preprint
    Keywords: Hilbert, Frege, Axiomatic Method, Geometry, proposition, concept, second-level concept
    Subjects: Specific Sciences > Mathematics
    Depositing User: Dr Susan G. Sterrett
    Date Deposited: 14 Aug 2002
    Last Modified: 07 Oct 2010 11:10
    Item ID: 723
    URI: http://philsci-archive.pitt.edu/id/eprint/723

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