A strict negation operator for multivalued systems

In this paper I will exam some issues about the meaning of the logical constant “negation”. I will defend that it has two main features, one is being formally and conceptually prior to the other two basic logical connectives: conjunction and disjunction, and the other is having as a main character i...

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Autor principal: Urgell Menéndez, Isis
Formato: Artículo publishedVersion
Lenguaje:Español
Publicado: Facultad de Filosofía y Letras, Universidad de Buenos Aires 2018
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Acceso en línea:https://revistascientificas.filo.uba.ar/index.php/CdF/article/view/6500
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=cufilo&d=6500_oai
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Sumario:In this paper I will exam some issues about the meaning of the logical constant “negation”. I will defend that it has two main features, one is being formally and conceptually prior to the other two basic logical connectives: conjunction and disjunction, and the other is having as a main character its ability to function as a switch of truth values, flip flopping one into the opposite. I will also argue for two other constraints one might ask for this type of operator to be called strict or strong. Finally, I show that is possible to design a multivalued logical system taking FOUR as a basis, and adding a strong yet non-classical negation to it.