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ON INFINITE NUMBER AND DISTANCE

Gwiazda, Jeremy (2008) ON INFINITE NUMBER AND DISTANCE. [Preprint]

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    Abstract

    Which objects (order types of total orderings) are the infinite numbers? Cantor answers: the infinite ordinals (that is, the order types of the infinite, well-ordered sets). In this paper, I argue that these objects are not the infinite numbers, but rather that objects of a different form are. Similar considerations will be seen to apply to infinite distance.


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    Item Type: Preprint
    Keywords: infinite number Cantor ordinal order type
    Subjects: Specific Sciences > Mathematics
    Depositing User: Jeremy Gwiazda
    Date Deposited: 02 Apr 2008
    Last Modified: 07 Oct 2010 11:16
    Item ID: 3968
    URI: http://philsci-archive.pitt.edu/id/eprint/3968

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