**Category:**

Research Papers

**Sub-Category:**

Mathematics and Applied Mathematics

**Date Published:**

October 03, 2021

**Keywords:**

Cantor Paradox, Buralli-Forti’s Paradox, inconsistencies in the foundations of naive set theories.

**Abstract:**

This chapter discusses Cantor’s paradox of the set all cardinals, and proves that in Cantor’s set theory every set of cardinal C originates at least 2C inconsistent infinite sets.

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