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It is not the case that David Armstrong's own account of structural universals generates infinite regress: methane requires a universal BONDED-TO that is itself structural.
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Reasons For
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1.
Structural universals need not themselves be structural; BONDED-TO can be a simple, non-decomposable universal relating atomic properties.
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2.
Infinite regress is benign if each level is determinate and explains facts at lower levels, avoiding vicious circularity or explanatory failure.
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3.
The objection conflates having internal structure with requiring structural universals to account for that structure at every level of analysis.
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Reasons Against
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1.
Structural universals like BONDED-TO are defined by internal relations between their constituents, requiring those relations to themselves be universals.
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2.
If BONDED-TO is a universal, its instantiation requires some account of what binds its relata, generating a new structural property needing explanation.
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3.
Armstrong's theory lacks a principled stopping point: any structural universal can be analyzed into further structural components requiring universals.
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