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Inverse View
It is not the case that The Price Equation is a mathematical identity that holds universally, so any constraint it imposes applies equally to type recursions by logical necessity.
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Reasons For
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Reason for
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1.
Mathematical validity of an equation doesn't guarantee its premises hold in all domains; type systems lack fitness and heritability concepts.
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2.
Price Equation describes biological change through selection; type recursions follow formal/syntactic rules with fundamentally different causal structure.
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3.
Logical necessity applies to mathematical form, not interpretation; equivocating between algebraic constraint and phenotypic constraint commits a category error.
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Reasons Against
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Reason against
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1.
Mathematical identities (like conservation laws) apply wherever their variables are defined, independent of domain or implementation details.
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2.
Type recursions instantiate the same evolutionary dynamics as biological populations, making Price Equation constraints logically binding.
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3.
Universal logical necessity means a true constraint cannot have exceptions; denying application to type recursions requires special pleading.
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