%0 Generic
%A Lisker, Roy
%D 1998
%F pittphilsci:1291
%K Logic ; Transfinite Arithmetic; Hilbert Space ; Cardinals ; Cantor; Combinatorics l
%T Weakly Infinite Cardinals
%U http://philsci-archive.pitt.edu/1291/
%X 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.