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Axiomatic Method and Category Theory

Andrei , Rodin (2012) Axiomatic Method and Category Theory. [Preprint]

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    Abstract

    Lawvere’s axiomatization of topos theory and Voevodsky’s axiomatization of heigher homotopy theory exemplify a new way of axiomatic theory-building, which goes beyond the classical Hibert-style Axiomatic Method. The new notion of Axiomatic Method that emerges in Categorical logic opens new possibilities for using this method in physics and other natural sciences.


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    Item Type: Preprint
    Keywords: axiomatic method, category theory, geometry, logic, intuition, structuralism
    Subjects: Specific Sciences > Mathematics
    Depositing User: Andrei Rodin
    Date Deposited: 25 Sep 2012 09:20
    Last Modified: 25 Sep 2012 09:20
    Item ID: 9336
    URI: http://philsci-archive.pitt.edu/id/eprint/9336

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