02254oam 2200469 450 991014052150332120230725040253.09788895994567 (PDF)(CKB)2670000000566723(SSID)ssj0001326149(PQKBManifestationID)12433414(PQKBTitleCode)TC0001326149(PQKBWorkID)11517402(PQKB)11419858(oapen)https://directory.doabooks.org/handle/20.500.12854/55209(EXLCZ)99267000000056672320160829d2011 uy 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierOn Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl An Analysis in the Propositional and in the First-Order Case /Bianchi, MatteoLedizioni2011Milan, Italy :Ledizioni LediPublishing,[2011].©20111 online resource (162 pages) illustrationsMathematical SciencesBibliographic Level Mode of Issuance: MonographIncludes bibliographical references and index.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]).MathematicsMathematicsLogicMathematicalMathematics.MathematicsBianchi Matteo271766PQKBUkMaJRU9910140521503321On some axiomatic extensions of the monoidal T-norm based logic MTL.1803378UNINA