On 2/22/2015 4:38 PM, Jason Resch wrote:
Not as Bruno uses it: That all computations exist Platonically and
instantiate all
possible thoughts - and a lot of other stuff.
That's arithmetical realism, not computationalism. However, to believe in the notion of
Turing machines or Turing emulability requires assuming at least something like the
peano axioms.
I think there's a difference between arithmetical realism and assuming there's a universal
dovetailer that exists in at least the Platonic sense. Assuming the Peano Axioms means
assuming they are 'true', not that anything exists. And I put 'true' in scare quotes
because to show that there are true but unprovable arithmetic propositions requires
assuming that the numbers are infinite, which I think it just a convenience, and not a
metaphysical necessity.
Brent
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