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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Place / Publishing House:Milan, Italy : : Ledizioni LediPublishing,, [2011].
©2011
Year of Publication:2011
Language:English
Series:Mathematical Sciences
Physical Description:1 online resource (162 pages) :; illustrations
Notes:Bibliographic Level Mode of Issuance: Monograph
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spelling Bianchi, Matteo, author
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.
Ledizioni 2011
Milan, Italy : Ledizioni LediPublishing, [2011].
©2011
1 online resource (162 pages) : illustrations
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Mathematical Sciences
Bibliographic Level Mode of Issuance: Monograph
Includes 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]).
English
Mathematics.
Mathematics Logic.
Mathematical
language English
format eBook
author Bianchi, Matteo,
spellingShingle Bianchi, Matteo,
On Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl : An Analysis in the Propositional and in the First-Order Case /
Mathematical Sciences
author_facet Bianchi, Matteo,
author_variant m b mb
author_role VerfasserIn
author_sort Bianchi, Matteo,
title On Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl : An Analysis in the Propositional and in the First-Order Case /
title_sub An Analysis in the Propositional and in the First-Order Case /
title_full 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.
title_fullStr 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.
title_full_unstemmed 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.
title_auth On Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl : An Analysis in the Propositional and in the First-Order Case /
title_new On Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl :
title_sort on some axiomatic extensions of the monoidal t-norm based logic mtl : an analysis in the propositional and in the first-order case /
series Mathematical Sciences
series2 Mathematical Sciences
publisher Ledizioni
Ledizioni LediPublishing,
publishDate 2011
physical 1 online resource (162 pages) : illustrations
isbn 9788895994567 (PDF)
genre_facet Logic.
illustrated Illustrated
work_keys_str_mv AT bianchimatteo onsomeaxiomaticextensionsofthemonoidaltnormbasedlogicmtlananalysisinthepropositionalandinthefirstordercase
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is_hierarchy_title On Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl : An Analysis in the Propositional and in the First-Order Case /
container_title Mathematical Sciences
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