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On Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl

Download or Read eBook On Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl PDF 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.
On Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl
Author :
Publisher : Ledizioni
Total Pages : 169
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ISBN-10 : 9788895994567
ISBN-13 : 8895994566
Rating : 4/5 (67 Downloads)

Book Synopsis On Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl by : Matteo Bianchi

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]).


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