I think Carroll's Paradox (or 'What the Tortoise Said to Achilles')
effectively undermines computationalism, or any argument that arithmetic
is prior to physics.
See: https://en.wikipedia.org/wiki/What_the_Tortoise_Said_to_Achilles
In order to escape the paradox, you have to resort to a formalist
approach, and that renders the formalism devoid of semantic content.
Bruce
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