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 -- ---------------------------------------------------------------------------- Dr Russell Standish Phone 0425 253119 (mobile) Principal, High Performance Coders Visiting Senior Research Fellow [email protected] Economics, Kingston University http://www.hpcoders.com.au ---------------------------------------------------------------------------- -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.

