On Thu, Jun 19, 2014 at 07:53:55PM +0200, Bruno Marchal wrote: > > > > > > > >And why do you say that anybody (whether zombie or not) can *prove* > >the existence of primitive matter? We don't know that for a fact. > > I played the devil advocate. I put my foot in Peter Jones' food, and > imagine he could convince us of the existence of primitive matter, > and from that I get a contradiction. > > In the case such a "valid" proof exist, it is just trivial to make a > mechanical procedure to find it, that's why I said any zombie can > find it. Validity is a recursive/decidable/total-computable/sigma_0 > notion, unlike provability, which is sigma_1 (partial-computable, > semi-decidable), and consistency, which is pi_1 (like Riemann > Hypothesis). >
Ah, yes I see that now. I guess I was implicitly assuming that such a proof didn't necessarily exist. Non-existence of the proof does not entail that primitive matter doesn't exist. But I understand you've now shown that such a proof cannot exist. I wasn't party to your conversations with Peter Jones (I probably skipped over them at the time when they got interminably long), so cannot comment how that result fits in with that discussion. But I don't see how you parlay this into a proof of step 8. -- ---------------------------------------------------------------------------- Prof Russell Standish Phone 0425 253119 (mobile) Principal, High Performance Coders Visiting Professor of Mathematics [email protected] University of New South Wales http://www.hpcoders.com.au Latest project: The Amoeba's Secret (http://www.hpcoders.com.au/AmoebasSecret.html) ---------------------------------------------------------------------------- -- 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 http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.

