publication . Preprint . 2008

Extending Cantor Paradox

Leon, Antonio;
Open Access English
  • Published: 12 Sep 2008
Abstract
The inconsistencies involved in the foundation of set theory were invariably caused by infinity and self-reference; and only with the opportune axiomatic restrictions could them be obviated. Throughout history, both concepts have proved to be an exhaustible source of paradoxes and contradictions. It seems therefore legitimate to pose some questions concerning their formal consistency. This is just the objective of this paper. Starting from an extension of Cantor's paradox that suggests the inconsistency of the actual infinity, the paper makes a short review of its controversial history and proposes a new way of criticism based on w-order. Self-reference is also ...
Subjects
free text keywords: Mathematics - General Mathematics
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