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 |
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| 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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