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    The Price Equation is a mathematical identity that holds ... — Carmelics
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    Challenges→Type recursions and the Price Equation impose different constraints on how temporally variable selection must be classified

    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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    • 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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    Reasons Against

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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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    Causation1 linkedModality & Possibility1 linked

    Related

    Logical necessity applies to mathematical form, not interpretation; equivocating...Mathematical identities (like conservation laws) apply wherever their variables ...Mathematical validity of an equation doesn't guarantee its premises hold in all ...Price Equation describes biological change through selection; type recursions fo...
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    Type recursions and the Price Equation impose different constraints on how tempo...Type recursions instantiate the same evolutionary dynamics as biological populat...Universal logical necessity means a true constraint cannot have exceptions; deny...

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