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Weakly Infinite Cardinals

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 [Preprint] (Unpublished)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
      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 11:11
      Item ID: 1291
      Public Domain: No
      URI: http://philsci-archive.pitt.edu/id/eprint/1291

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