Set Theory and Logic

The Continuum Theorem

Authors: David L. Selke
Comments: 4 Pages. (Note by viXra Admin: Please list scientific references in future submissions)

An injection from omega-1 to the paths in the binary tree leads to a bijection between the omega-length binary strings and an aleph-1 sized set. Since there are 2^aleph-null many omega-length binary strings, this proves the Continuum Hypothesis, 2^aleph-null = aleph-1. The technique may be extended to show the Generalized Continuum Hypothesis, which however will be reported separately.
Category: Set Theory and Logic