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DOING AND SHOWING

RODIN, Andrei (2011) DOING AND SHOWING. [Preprint]

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    Abstract

    The persisting gap between the formal and the informal mathematics is due to an inadequate notion of mathematical theory behind the current formalization techniques. I mean the (informal) notion of axiomatic theory according to which a mathematical theory consists of a set of axioms and further theorems deduced from these axioms according to certain rules of logical inference. Thus the usual notion of axiomatic method is inadequate and needs a replacement.

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    Item Type: Preprint
    Keywords: Axiomatic method, Euclid, Hilbert, Bourbaki, Constructivism
    Subjects: Specific Sciences > Mathematics
    Depositing User: Andrei Rodin
    Date Deposited: 19 Sep 2011 08:01
    Last Modified: 19 Sep 2011 08:01
    Item ID: 8797
    URI: http://philsci-archive.pitt.edu/id/eprint/8797

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