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Paradoxes in Naive Set Theory

Author:

Leon, Antonio

Category:

Research Papers

Sub-Category:

Mathematics and Applied Mathematics

Language:

English

Date Published:

December 27, 2023

File:

/Research Papers-Mathematics and Applied Mathematics/Download/9777

Downloads:

115

Keywords:

Cantor paradox, Burali-Forti Paradox, Russell Paradox

Abstract:

This chapter proves that the set-theory paradoxes of Cantor, Burali-Forti and Russell are in fact true contradictions derived from the Hypothesis of the Actual Infinity subsumed in the Axiom of Infinity.