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It is not the case that If unit length universals are themselves complex aggregates, an infinite regress threatens: each unit must be explained by sub-units sharing partial identity.
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Reasons For
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Reason for
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1.
Unit universals need not be decomposable: treating them as atomic primitives avoids regress without contradiction or explanatory cost.
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2.
Partial identity differs from mereological composition; sharing identity needn't generate sub-unit structure requiring further decomposition.
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3.
Infinite regress is benign when each level is determinate and self-contained; foundations need not be metaphysically ultimate to be adequate.
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Reasons Against
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Reason against
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1.
Composition requires explaining how parts relate; if units contain sub-units, those relations demand explanation by further constituents.
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2.
Partial identity creates dependency: if a unit shares identity with its sub-units, each sub-unit requires its own sub-components to ground that sharing.
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3.
Without a stopping point, complexity admits no fundamental level, making any universal's nature ultimately ungrounded and indeterminate.
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