On 13 Apr 2014, at 19:43, Platonist Guitar Cowboy wrote:

If you guys want to argue to infinity these similar points (all really particular too at both end, of course), than sure: my apologies. I just took Bruno by his word of "I'll just say if I see an argument or not." and felt that was better than to have this thread keep ballooning with nobody else in the discussion or seeming to follow anymore. But if that was not a genuine point, fine. I stand corrected. PGC

On the contrary, and I wish I could have read your comment before answering Craig. I might have avoiding answering it but I have that sort of weakness in believing he might see some point. It is also hard to not answer false attribution.

Craig is quite correct compared to the first person associated to the machine by the []p & p definition, and it reminds me that comp is, and has to be, counter-intuitive.

It is a mini Brouwer-Hilbert debate, with Brouwer played by Craig, and the 1p of the machine (S4Grz, []p & p), and Hilbert (me, or the []p of the machines.

The logical appearance of the person is

Truth  -> person -> machine/theories/ideas

or put it differently:

p  ----->  []p & p  -----> []p (& p?)

Craig illustrates well that consciousness is in the true part, not in the representation, but you need both to have a local particular person, relatively to some universal number or system.

Now this made him into a trivial step zero stopper, and I can be tired of the accumulation of word play, and the begging questions.

I appreciate the intervention.

Bruno






On Sun, Apr 13, 2014 at 7:22 PM, Bruno Marchal <marc...@ulb.ac.be> wrote:

On 13 Apr 2014, at 00:46, Craig Weinberg wrote:

Can sense not be allowed to represent itself in your court of argument?


That is a very good idea.

That is quite close to what happens with the definition by Theatetus of (rational) knowledge by saying that is a (rational) belief (finitely 3p describable) which is also true (something not definable in general, but well known in many situations). That truth might not be computable (like in self-multiplication), nor definable (like in Peano Arithmetic or by Löbian machines), and that is why we use the truth (p) to represent itself, in the definition of know(p) by []p & p.

That describes a knower (it obeys S4), and explains the existence of the fixed point, the locus where the beliefs are incorrigible, and correctly so, from that necessarily existing point of view. It explains the existence of proposition which will be trivially true from the first person perspective, yet impossible to communicate rationally to another machine.

Bruno






http://iridia.ulb.ac.be/~marchal/




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http://iridia.ulb.ac.be/~marchal/



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