On Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl An Analysis in the Propositional and in the First-Order Case
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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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Milan, Italy :
Ledizioni
2011
[2011]. |
| Colección: | Mathematical Sciences
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| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009436403206719 |
| 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]). |
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| Notas: | Bibliographic Level Mode of Issuance: Monograph |
| Descripción Física: | 1 online resource (162 pages) : illustrations |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9788895994567 |
