Download or read book On Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl written by Matteo Bianchi and published by Ledizioni. This book was released on 2011 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific area this thesis belongs to is many-valued logics: this meanslogics 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 thatevery 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 suggestto reject this law: for example, intuitionistic logic does not satisfy it, sincethis logic reflects a "constructive" conception of mathematics (see [Hey71, Tro69]).