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It is not the case that A regress of unexplained resemblances is no less problematic than the original One Over Many demand for a common property.
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Reasons For
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Reason for
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1.
Resemblance can be primitive and non-relational, needing no further explanation, unlike universals which demand metaphysical grounding.
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2.
A regress of resemblances may be benign (like mathematical infinite series) rather than vicious, unlike the original One Over Many problem.
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3.
Resemblance is observable and baseline; positing hidden universals adds explanatory burden without empirical justification.
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Reasons Against
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Reason against
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1.
Both regresses demand explanation: why things resemble requires either a common property or an infinite chain of resemblance facts.
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2.
A regress of resemblances offers no explanatory advantage—each resemblance still requires justification, creating the same explanatory burden.
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3.
Without a stopping point, neither approach avoids circularity or infinite regress, making them epistemically equivalent failures.
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