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Michael Morreau (2010). It Simply Does Not Add Up: Trouble with Overall Similarity.

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  1.  74
    Distance and Dissimilarity.Ben Blumson - forthcoming - Philosophical Papers:1-29.
    This paper considers whether an analogy between distance and dissimilarlity supports the thesis that degree of dissimilarity is distance in a metric space. A straightforward way to justify the thesis would be to define degree of dissimilarity as a function of number of properties in common and not in common. But, infamously, this approach has problems with infinity. An alternative approach would be to prove representation and uniqueness theorems, according to which if comparative dissimilarity meets certain qualitative conditions, then it (...)
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  2. Counterfactual Dependence and Arrow.Thomas Kroedel & Franz Huber - 2013 - Noûs 47 (3):453-466.
    We argue that a semantics for counterfactual conditionals in terms of comparative overall similarity faces a formal limitation due to Arrow’s impossibility theorem from social choice theory. According to Lewis’s account, the truth-conditions for counterfactual conditionals are given in terms of the comparative overall similarity between possible worlds, which is in turn determined by various aspects of similarity between possible worlds. We argue that a function from aspects of similarity to overall similarity should satisfy certain plausible constraints while Arrow’s impossibility (...)
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