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Theoria. Revista de Teoría, Historia y Fundamentos de la Ciencia

Volume 17, Issue 1, Enero 2002

Julián Garrido
Pages 35-62

Las Paradojas De La Teoria De Conjuntos
Un Analysis Sistematico

The starting point of this work is the existence of historical paradoxes in the set theory. These are: Russell's paradox, applied to the set W, Cantor's, for the set U, and Burali-Forti's, of the set Omega. A systematic analysis aimed at the simplification and the refining of such paradoxes showed that: (i) there exist at least eight contradictory expressions instead of three; (ii) another contradictory set is suggested by an extension of Burali-Forti's paradox; (iii) almost all of the contradictions apply to more than one paradoxical set.

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