Re: UDA revisited

From: Bruno Marchal <marchal.domain.name.hidden>
Date: Tue, 21 Nov 2006 11:40:04 +0100

Le 20-nov.-06, 23:19, Russell Standish wrote (in part):
> The first one? It doesn't matter whether you're implemented using a UD
> running on a bare physical substrate, as on a 15th nested UD or a
> Googolplex+1 th nested one. You cannot tell the difference from the
> inside - that's the point of computationalism.
My point is that we can. From inside, just because locally you cannot
know if you are in the 15th nested UD, or the 16th nested UD, or the
17th nested UD, etc., it follows that from inside to compute any
prediction you have to sum up on them (the nested UD) all, and this
entails verifiable empirically propositions.
> Just as importantly, if
> there were an infinite nest of UDs, or the UD nest looped so that the
> UD in which you're implemented also executed itself, you still couldn't
> tell.
I can. To sum up, it is really because I cannot 1-tell the difference
between any computation capable of simulating "me", that I can, by
observation, get evidence (or refutation) that reality is an
arithmetical video game. The "sum on all computations" comes from this
fact alone.
This follows already from the UDA, but should be transparently clear
with the AUDA (Arithmetical translation of the UDA).
More in my reply to Tom.
Bruno
http://iridia.ulb.ac.be/~marchal/
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Received on Tue Nov 21 2006 - 05:40:43 PST

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