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It is not the case that Armstrong's partial identity requires that universals have genuine mereological parts, but universals are traditionally simple, non-composite entities.
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Reasons For
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1.
Universals can be multiply located without having spatiotemporal parts; location is a non-mereological relation between abstract entities and particulars.
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2.
Positing mereological parts in universals creates regress problems: do those parts themselves have parts, and do universals remain genuinely universal?
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3.
Simplicity has been central to universals theory precisely because it explains their transcendence of particular instances without material composition.
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Reasons Against
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Reason against
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1.
Armstrong's partial identity theory requires universals to have spatiotemporal parts corresponding to their instantiations in different particulars.
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2.
If universals lack mereological structure, partial identity becomes unintelligible—we cannot explain how the same universal exists in multiple locations.
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3.
The traditional simplicity thesis conflicts with empirical adequacy; structured universals better explain how properties relate to their instances.
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