On 4/29/2017 12:16 AM, David Nyman wrote:


On 29 Apr 2017 2:33 a.m., "Bruce Kellett" <[email protected] <mailto:[email protected]>> wrote:

    On 29/04/2017 1:18 am, Bruno Marchal wrote:

        On 27 Apr 2017, at 23:22, Brent Meeker wrote:

            The absurdity, if I've understood this, is that idea of
            physical substitution leads to a conclusion that nothing
            physical is needed.


        The absurdity is that the first person experience in physics
        has to be a sum on all computations (to be short).


    This might cause some problems for the SAN04 argument. The "Yes,
    doctor" assumption says that if my brain is replaced by a
    functionally correct digital device (at the appropriate
    substitution level), then I would not be aware of any experiential
    change. But if my first person experience is the sum on all
    computations that pass through my conscious state, then no digital
    computer could ever be a "sum on an infinity of computations", so
    my conscious state could not be reproduced in this way. In fact,
    as has been said, the sum on all computations is not Turing
    emulable. Thus my conscious state is not Turing emulable, and the
    "Yes, doctor" scenario fails -- we would have to say "No" to the
    doctor.

    The second problem with the idea that the first person experience
    has to be the sum on all computations, is that this renders
    duplication of persons impossible. If you duplicate the
    computation(s) that make up a first person experience, you have
    simply added some more computations to that experience and the sum
    over *all* computations is unchanged. Thus there is still only one
    first person experience, and the attempted duplication fails.

    So, if the "Yes, doctor" assumption, and the subsequent
    duplication scenarios, lead to the conclusion that the first
    person experience is a sum on all computations, the argument is
    self-contradictory: the conclusion contradicts the input
    assumptions and the argument is incoherent.


Well, you've certainly​ found a way to make it appear incoherent. But here's another way to look at the matter that may help. The multiplicity of machines implied by the UD are in principle objectively distinguishable so in that sense there is no "sum". However let's consider the situation vis a vis identical machine states,

A Turing machine consists of a finite state machine and a semi-infinite tape. When you write "identical machine states" I assume you mean to include the tape. But if the machine states were ever identical then they would remain so - and as abstract TMs they would be the same machine.

Or are you referring to some subset of states of the TM which are instantiating "you".

any of which might comprise, by assumption, my present subjective state. Now there is no possibility of an objective mapping from the subjective state to a single machine in the multiplicity. As Bruno puts it, if I am indeed a machine, I can't know which one.

Because you're not any one in particular? That would be expected if you'rea (quasi) classical being emerging from a quantum physics. But I don't think that's what Bruno meant. I think he means that an algorithm computing "you" can't know which algorithm it is, even if it is a single (not sum) algorithm.

In that sense my present subjective state could be considered a "sum" over those identical machine states. So if my brain were then to be replaced by a functionally identical prosthesis there would be no change in that "sum" and so my experience, again by assumption, would be unchanged.

I think unchanged experience is too strong a requirement. Your blood has K40 atoms whose decay may very well, on occasion, make a difference in experience or even decision and changing a neuron into some silicon based electronics would certainly change your susceptibility to local EM fields. To say "yes" to the doctor is just supposed to express confidence you'd still be conscious.

But I'm still unclear on what "identical machine states" refers to. The UD is running every possible program - not just Nyman1.0. So are you just talking about identical states of a prosthetic brain the doctor installed?

Brent

Ditto for duplication of persons. The key point here is to distinguish between the third-person (computational) and first person (perceptual) situations​. Of course, when one looks beyond any given present state, divergence of subsequent machine state continuations would then in principle render the associated personal histories both objectively and subjectively distinguishable.

Hope this helps.

David



    Bruce



        So even if a physical universe exists, it *cannot* have any
        influence on my prediction. Physics lose *all* its prediction
        power. Computationalism saves physics, we should say, but
        makes it more modest when wandering on metaphysics.


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