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.

-- 

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