On some axiomatic extensions of the monoidal T-norm based logic MTL.

The scientific area this thesis belongs to is many-valued logics: this means logics in which, from the semantical point of view, we have "intermediate" truth-values, between 0 and 1 (which in turns are designated to represent, respectively, the "false" and the "true")....

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Autor principal: Matteo Bianchi (auth)
Formato: Electrónico Capítulo de libro
Lenguaje:inglés
Publicado: Ledizioni 2011
Colección:Mathematical Sciences
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Acceso en línea:DOAB: download the publication
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Sumario:The scientific area this thesis belongs to is many-valued logics: this means logics in which, from the semantical point of view, we have "intermediate" truth-values, between 0 and 1 (which in turns are designated to represent, respectively, the "false" and the "true"). The classical logic (propositional, for simplicity) is based on the fact that every statement is true or false: this is reflected by the excluded middle law, that is a theorem of this logic. However, there are many reasons that suggest to reject this law: for example, intuitionistic logic does not satisfy it, since this logic reflects a "constructive" conception of mathematics (see [Hey71, Tro69]).
ISBN:9788895994567
Acceso:Open Access