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Disproof of the Generalized Continuum Hypothesis in the System of ZF or ZFC and Cantor's Set Theory

Author:

Mimori, Motoki

Category:

Essays

Sub-Category:

Mathematics and Applied Mathematics

Language:

English

Date Published:

August 30, 2015

File:

/Essays-Mathematics and Applied Mathematics/Download/6181

Downloads:

786

Keywords:

N/A

Abstract:

Since Cantor made mathematical proof, it has been "believed" that sometimes cardinality of set and its subset become equal. But I discovered a good way to disprove this idea. This disproof is depending only one axiom of ZF or ZFC and Cantor's set theory. Some of old achievements will be forced to reconsider.

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