Lisker, Roy (1998) Weakly Infinite Cardinals. [Preprint] (Unpublished)
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Abstract
A natural extension of Cantor's hierarchic arithmetic of cardinals is proposed. These cardinals have the property that the application of the power set operator a finite number of times will generate the first countable cardinal, Aleph-0. Models for these based on the properties of Hilbert Space and on Combinatorics are suggested.
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| Item Type: | Preprint | ||||||
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| Keywords: | Logic ; Transfinite Arithmetic; Hilbert Space ; Cardinals ; Cantor; Combinatorics l | ||||||
| Subjects: | Specific Sciences > Mathematics | ||||||
| Depositing User: | Roy Lisker | ||||||
| Date Deposited: | 07 Aug 2003 | ||||||
| Last Modified: | 07 Oct 2010 15:11 | ||||||
| Item ID: | 1291 | ||||||
| Public Domain: | No | ||||||
| Subjects: | Specific Sciences > Mathematics | ||||||
| Date: | January 1998 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/1291 |
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