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  1.  26
    From Analogical Proportion to Logical Proportions.Henri Prade & Gilles Richard - 2013 - Logica Universalis 7 (4):441-505.
    Given a 4-tuple of Boolean variables (a, b, c, d), logical proportions are modeled by a pair of equivalences relating similarity indicators ( \({a \wedge b}\) and \({\overline{a} \wedge \overline{b}}\) ), or dissimilarity indicators ( \({a \wedge \overline{b}}\) and \({\overline{a} \wedge b}\) ) 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 corresponds to a statement of the form “a (...)
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    Homogeneous And Heterogeneous Logical Proportions: An Introduction.Franz Guenthner, Dov Gabbay, Gilles Richard & Henri Prade - 2018 - In Dov M. Gabbay & Franz Guenthner (eds.), Handbook of Philosophical Logic: Volume 18. Springer Verlag.
    Commonsense reasoning often relies on the perception of similarity as well as dissimilarity between objects or situations.
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    From the Structures of Opposition Between Similarity and Dissimilarity Indicators to Logical Proportions.Gilles Richard & Henri Prade - 2017 - In Gordana Dodig-Crnkovic & Raffaela Giovagnoli (eds.), Representation of Reality: Humans, Other Living Organism and Intelligent Machines. Springer.
    Comparative thinking plays a key role in our appraisal of reality. Comparing two objects or situations A and B, described in terms of Boolean features, may involve four basic similarity or dissimilarity indicators referring to what A and B have in common, or to what is particular to A or particular to B. These four indicators are naturally organized into a cube of opposition, which includes two classical squares of opposition, as well as other noticeable squares. From the knowledge of (...)
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