I don’t think that’s different, unless it can also make infinitely many queries of the Turing oracle in finite time. Or make one query of a program of infinite length. In any case, I think it needs to perform infinite communication with the oracle.
I’ll grant that it seems likely that a universe with infinite computation capability will also have infinite communication capability using the same primitives, but I don’t think it’s a logical requirement.
I don’t think that’s different, unless it can also make infinitely many queries of the Turing oracle in finite time. Or make one query of a program of infinite length. In any case, I think it needs to perform infinite communication with the oracle.
I’ll grant that it seems likely that a universe with infinite computation capability will also have infinite communication capability using the same primitives, but I don’t think it’s a logical requirement.
Yes, let’s replace “computations” with “actions,” I guess.