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Inverse View
It is not the case that L2's largeness is not a relational property requiring a further form but is constitutive of its essence, terminating the regress by definition.
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Reasons For
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Reason for
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1.
Calling something 'essential by definition' risks circular reasoning—it asserts what needs demonstration, not explanation.
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2.
Even intrinsic properties require some ground for their instantiation; declaring one 'self-terminating' merely relabels the problem.
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3.
Largeness appears fundamentally comparative (large *relative to* something), making purely constitutive status metaphysically implausible.
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Reasons Against
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Reason against
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1.
Some properties must be essential rather than relational, or infinite regress becomes unavoidable in any foundational analysis.
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2.
Largeness constitutively defining L2's essence means the property inheres intrinsically, requiring no external reference form.
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3.
Definitional termination of regress is metaphysically legitimate when a property's meaning exhausts its explanatory role.
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