Intermediate Syllogisms in Fuzzy Natural Logic
نویسندگان
چکیده
منابع مشابه
Intermediate Syllogisms in Fuzzy Natural Logic
The goal of this paper is twofold: first, we give overview of the results of one part of the Fuzzy Natural Logic — the formal theory of intermediate quantifiers and syllogisms based on them. We present 105 valid basic syllogisms and show that for the proof of validity of all of them, we need to prove validity of only few of them so that validity of the other ones immediately follows. In the sec...
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We present a reading of the traditional syllogistics in a fragment of the propositional intuitionistic multiplicative linear logic and prove that with respect to a diagrammatic logical calculus that we introduced in a previous paper, a syllogism is provable in such a fragment if and only if it is diagrammatically provable. We extend this result to syllogistics with complemented terms à la De Mo...
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Peterson’s Intermediate Syllogisms, generalizing Aristotelian syllogisms by intermediate quantifiers ‘Many’, ‘Most’ and ‘Almost all’, are studied. It is demonstrated that, by associating certain values V, W and U on standard Lukasiewicz MV–algebra with the first and second premise and the conclusion, respectively, the validity of a corresponding intermediate syllogism is determined by a simple ...
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ژورنال
عنوان ژورنال: Journal of Fuzzy Set Valued Analysis
سال: 2016
ISSN: 2193-4169
DOI: 10.5899/2016/jfsva-00271