Authors
Ben Blumson
National University of Singapore
Abstract
According to Satosi Watanabe's "theorem of the ugly duckling", the number of predicates satisfied by any two different particulars is a constant, which does not depend on the choice of the two particulars. If the number of predicates satisfied by two particulars is their number of properties in common, and the degree of resemblance between two particulars is a function of their number of properties in common, then it follows that the degree of resemblance between any two different particulars is also constant, which is absurd. Avoiding this absurd conclusion requires questioning assumptions about infinity in the proof or interpretation of the theorem, adopting a sparse conception of properties, or denying degree of resemblance is a function of number of properties in common. After arguing against both the first two options, this paper argues for a version of the third which analyses degree of resemblance as a function of properties in common, but weighted by their degree of naturalness or importance.
Keywords Resemblance  Similarity  Properties  Predicates  Watanabe  Universals
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DOI 10.1007/s44204-022-00023-5
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References found in this work BETA

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New Work For a Theory of Universals.David Lewis - 1983 - In D. H. Mellor & Alex Oliver (eds.), Properties. Oxford University Press.

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