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The Future of the Concept of Infinite Number

Gwiazda, Jeremy (2015) The Future of the Concept of Infinite Number. [Preprint]

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Abstract

In ‘The Train Paradox’, I argued that sequential random selections from the natural numbers would grow through time. I used this claim to present a paradox. In response to this proposed paradox, Jon Pérez Laraudogoitia has argued that random selections from the natural numbers do not grow through time. In this paper, I defend and expand on the argument that random selections from the natural numbers grow through time. I also situate this growth of random selections in the context of my overall work on infinite number, which involves two main claims: 1) infinite numbers, properly understood, are the infinite natural numbers in a nonstandard model of the reals, and 2) ω is potentially infinite (not actually infinite).


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Gwiazda, Jeremyjeremygwiazda@gmail.com
Keywords: infinite number; infinity; supertask; infinitesimal; Cantor
Subjects: Specific Sciences > Mathematics
Depositing User: Jeremy Gwiazda
Date Deposited: 20 Apr 2015 14:19
Last Modified: 20 Apr 2015 14:19
Item ID: 11431
Subjects: Specific Sciences > Mathematics
Date: 2015
URI: http://philsci-archive.pitt.edu/id/eprint/11431

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