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

Volume 1, Issue 2, 1985

María Manzano
Pages 513-534

Formalización en teoría de tipos del predicado de existencia de Mario Bunge

Professor Bunge makes the distinction between the logical concept of existence and the ontological one. I agree with him and in this paper I am formalizing his existence predicate into the powerful language of type theory. I am also proving the logical equivalence of this for mulation with a briefer one, which says that to exist conceptually is the same as to be a conceptual object. Accordingly, from this point on I investigate what conceptual objects are. I reach the conclusion that it is better to study a restricted area each time, where existence could even be assigned in different degrees. For instance, in set theory -like in Animal Farm of Orwell every set exists but so me “exist more” than others. Of course, in relating degrees of existence to degrees of definability I am not following Bunge.

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