Basic logic for true and false LBVF

System LBVF is an extension of the classical positive logic, the system includes operators of alternating affirmation, alternating negation and determinability, and the operators of classical negation and good foundation are defined as from them. The system is characterized by a semantic of traditio...

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Autores:
Sierra A., Manuel
Tipo de recurso:
Fecha de publicación:
2007
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
spa
OAI Identifier:
oai:repository.eafit.edu.co:10784/14540
Acceso en línea:
http://hdl.handle.net/10784/14540
Palabra clave:
Truth
Falsity
Alternating Affirmation
Alternating Negation
Paracomplete
Good Foundation
Liar’S Paradox
Verdad
Falsedad
Afirmación Alterna
Negación Alterna
Paracompleto
Buen Fundamento
Paradoja Del Mentiroso
Rights
License
Copyright (c) 2007 Manuel Sierra A.
Description
Summary:System LBVF is an extension of the classical positive logic, the system includes operators of alternating affirmation, alternating negation and determinability, and the operators of classical negation and good foundation are defined as from them. The system is characterized by a semantic of traditional valuations. Respect to the negation and affirmation operators the system is paracomplete.In the system the definitions of truth and falsity presented by Aristotle are really characterized, representing the Aristotelian falsity with the operator of alternating negation and the Aristotelian truth with the operator of alternating affirmation. This interpretation gives solution to a variant of the liar’s paradox.