On Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl : : An Analysis in the Propositional and in the First-Order Case / / Bianchi, Matteo.
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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| Superior document: | Mathematical Sciences |
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| VerfasserIn: | |
| Place / Publishing House: | Milan, Italy : : Ledizioni LediPublishing,, [2011]. ©2011 |
| Year of Publication: | 2011 |
| Language: | English |
| Series: | Mathematical Sciences
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| Physical Description: | 1 online resource (162 pages) :; illustrations |
| Notes: | Bibliographic Level Mode of Issuance: Monograph |
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| Summary: | 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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| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9788895994567 (PDF) |
| Hierarchical level: | Monograph |
| Statement of Responsibility: | Bianchi, Matteo. |