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  1. Sorites Without Vagueness II: Comparative Sorites.Ehtibar N. Dzhafarov & Damir D. Dzhafarov - 2010 - Theoria 76 (1):25-53.
    We develop a mathematical theory for comparative sorites, considered in terms of a system mapping pairs of stimuli into a binary response characteristic whose values supervene on stimulus pairs and are interpretable as the complementary relations 'are the same' and 'are not the same' (overall or in some respect). Comparative sorites is about hypothetical sequences of stimuli in which every two successive elements are mapped into the relation 'are the same', while the pair comprised of the first and the last (...)
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  • A Note on the Reverse Mathematics of the Sorites.Damir D. Dzhafarov - 2019 - Review of Symbolic Logic 12 (1):30-36.
    Sorites is an ancient piece of paradoxical reasoning pertaining to sets with the following properties: elements of the set are mapped into some set of “attributes”; if an element has a given attribute then so are the elements in some vicinity of this element; and such vicinities can be arranged into pairwise overlapping finite chains connecting two elements with different attributes. Obviously, if Superveneince is assumed, then Tolerance implies lack of Connectedness, and Connectedness implies lack of Tolerance. Using a very (...)
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