Number Theory


Counting the 'uncountable' Pushing the Boundaries in Number/set Theory

Authors: Salvatore Gerard Micheal

Seven related papers develop a novel approach toward elucidating irrational density from a non-standard perspective. The notion of countability is explored in a precise new way. This new definition of countability clearly relates irrational to rational density and sets the stage for a more accessible understanding of the reals. Also, two implications in set theory are discovered. Constructive evaluation, criticism, and collaboration is invited.

Comments: 9 Pages. author's email:

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Submission history

[v1] 2012-07-23 18:55:11
[v2] 2012-07-25 20:09:40
[v3] 2012-07-26 13:42:11
[v4] 2012-07-27 21:52:37
[v5] 2012-07-28 16:38:10
[v6] 2012-07-30 16:45:30

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