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Is structural representation analog representation?
Structural and analog representations have recently been argued to be type-identical on the basis of a shared formal characterization as order-preserving homomorphisms between magnitude structures, differing only in dimensionality (Maley 2026). I argue that extending homomorphism-based accounts to multiple dimensions does not individuate structural representation, since independent analog mappings may coexist without forming structural representation. At a deeper level, the argument for identity fails because it does not establish that structural and analog cases are grounded in the same intentionality-conferring relations.
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