Hi Telmo, Quentin,

On 04 Sep 2017, at 15:15, Quentin Anciaux wrote:

Because there are an infinity of implementations for a given computation state so if consciousness supervene on a computation, it supervenes on all the possible implementations going through it's current state.


That's right.

All computations are emulated by the (sigma1) arithmetical reality, so even if you were right now a unique possible individual person, your next states should result on a FPI-calculus (say) on all computations going through your current state (at your substitution level and below). But in "reality", you are not a unique individual, you are already associated (even if only by ignorance) to an infinity of non distinguishable histories, and the next states probable have to take the whole differentiation into account. Mathematically, for the ideal machine, it is far more simple, because we start from the correct level of description, and study what the machine can say or not say from that (on the sigma1 (computable) propositions.

It is here that you can see the failure of the identity thesis. We can attach/associate a mind to to some machine, judging from its behavior, but the person supported by that machine cannot attach itself to that machine, or to its machine state, but only to the infinity of them, which are emulated in the (sigma1) arithmetical reality.

Bruno







Quentin

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2017-09-04 14:47 GMT+02:00 Telmo Menezes <[email protected]>:
A question for Bruno (and anyone who wants to chime in, of course):

I believe you state that, under comp, consciousness necessarily
supervenes on infinite computations. Why?

Best,
Telmo.

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