On 14 Oct 2015, at 08:17, Bruce Kellett wrote:

On 14/10/2015 4:45 pm, Jason Resch wrote:
Cochlear implants and artificial retinas give evidence toward multiple realizability, and therefore, against mind- brain identity theory. They show that it is functional equivalence, rather than material/compositional equivalence that matters. Since computers can realize any finite function, then assuming there are no necessary infinities within the brain, computers can realize any functional state the brain is able to realize. For physicalism to be correct, you have to believe either that functional states are irrelevant to consciousness, or that physics can instantiate functional states which Turing machines cannot.

That is simply false.


Again it's not clear what you mean by computationalism. Bruce can speak for himself, but I think he agrees that strong AI is possible.


Strong AI implies consciousness is substrate independent. But I thought Bruce argued against consciousness being derivable from mathematical computations, which would mean consciousness is substrate dependent: that it depends on physically implemented Turing machines.

I certainly argued that consciousness could not be sustained on platonic computations in arithmetic. But that was because I do not accept that such things exist. In mathematics you have descriptions of Turing machines and descriptions of computations, but no live machines or computations. Substrate independence simply means that you can replace all or part of the human brain with computer-based equivalents.

That is comp. And then comp entails that there is no such primitive substance capable of selecting a computation for consciousness.


In other words, strong AI.

That is incorrect. Strong AI just says that digital machine can think/ be-conscious. This does not logically entails that human or me are machine. machine might be conscious does not entail logically that only machines can be conscious.

But of course, if you agree that I (and you) am conscious, comp entails strong AI, as I or you would be example of thinking/conscious machine.




No need for platonia in order to say that consciousness is independent of the substrate.


But you need the "arithmetical platonia" to even define the term computation. No platonia entails no notion of computation at all.








Why? Arithmetic is system of propositions. Whether it is real or not has no effect on Church-Turing.

Then you should be equally happy to have your brain implemented by "unreal computations" as "real computations" :-)

Computations in platonia are 'unreal' -- they do not exist, so cannot implement anything.


In a sense of implementation different from the standard sense.





and it's difficult to make sense of computationalism if you can no longer define computation or computability. So if you accept computationalism, you are implicitly accepting infinity and arithmetical realism. Given this, the rest of Bruno's result is a logical proof, which is either correct or has an error.

No, you missed the point that it is not a logical proof. It's an argument from incredulity.

"A Turing Machine either reaches a halting state or runs forever"
"A Turing Machine can emulate any other Turing machine"
"A Turing Machine has an unlimited tape"

None of the above items are true for physical approximations of Turing machines. If these basic principals of computer science are not true for physical Turing machines, then what kind of Turing machines are they true for? Is Computer Science founded on lies, or does it concern itself with a recently-discovered mathematical object for which these statements are true?

The definition is of an ideal Turing machine. No such ideal machine exists. Mathematical objects are idealizations: they do not exist. Any realization of a mathematical objects is necessarily less than ideal.

Well, you just assert that you believe in Aristotle theology. No problem as you accept that comp has to be false in that case. But comp is just what you called string-ai above. It is the assumption leading to the epistemological and ontological reversal.


Bruno



Bruce

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