From Analogical Proportion to Logical Proportions
نویسندگان
چکیده
منابع مشابه
From Analogical Proportion to Logical Proportions
Given a 4-tuple of Boolean variables (a, b, c, d), logical proportions are modeled by a pair of equivalences relating similarity indicators (a∧ b and a ∧ b), or dissimilarity indicators (a ∧ b and a ∧ b) pertaining to the pair (a, b), to the ones associated with the pair (c, d). There are 120 semantically distinct logical proportions. One of them models the analogical proportion which correspon...
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Recently, a propositional logic modeling of analogical proportions, i.e., statements of the form “A is to B as C is to D”, has been proposed, and has then led to introduce new related proportions in a general setting. This framework is well-suited for analogical reasoning and classification tasks about situations described by means of Boolean properties. There is a clear need for extending this...
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Analogical proportions are statements involving four entities, of the form ‘A is to B as C is to D’. They play an important role in analogical reasoning. Their formalization has received much attention from different researchers in the last decade, in particular in a propositional logic setting. Analogical proportions have also been algebraically defined in terms of factorization, as a generali...
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ژورنال
عنوان ژورنال: Logica Universalis
سال: 2013
ISSN: 1661-8297,1661-8300
DOI: 10.1007/s11787-013-0089-6