On Mon, May 08, 2017 at 12:42:01PM +0200, Bruno Marchal wrote:
> 
> 
> I don't think they need to halt. They need only to go through our
> local state. A priori, the halting computations might have a null
> measure among all computations, so that the global "physical"
> measure might be determined only by the Non Halting computations.
> Just a technical detail out of the scope of your argument, to be
> sure, but it might have technical consequences when we do the math
> though.
> 

But the halting computations does not have zero measure in the space
of all computations. (I'm assuming you mean zero measure when you say
"null measure"). The probability of a machine halting is the Chaitin
Omega number, provably between 0 and 1.

I don't think this changes your first two sentences, though :).

Cheers

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