If nomic possibility requires only consistency with physical law rather than realizability within actual resource constraints, Blockhead remains nomically possible because no fundamental law forbids arbitrarily large finite lookup structures.

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Blockhead(Used as a philosophical objection to the Turing Test as a criterion for intelligence): A hypothetical system that passes the Turing Test purely by look-up table rather than genuine intelligence.
lookup structure(philosophy of mind): A giant organized table or database that stores information (like conversations) so you can quickly find and retrieve the right answer when you need it.
nomic possibility(Used to distinguish what is physically realizable from what is merely conceivable): Possibility consistent with the laws of nature and physical boundary conditions, as distinct from mere logical possibility.
physical law(Poincaré's epistemology, contrasted with geometric axioms): A principle whose conventions are useful and apply to physical objects.
realizability(as used in mathematical logic): A technical method in mathematical logic for checking whether a proof is 'constructive'—essentially asking whether you can actually build or compute what the proof claims exists.
resource constraints(contrasted with fundamental laws of nature—something might be impossible just because we don't have enough resources): Practical limitations like time, money, energy, or materials that make something hard or impossible to do in practice.

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