Re: Bruno's argument

From: Bruno Marchal <marchal.domain.name.hidden>
Date: Sat, 22 Jul 2006 15:21:27 +0200

Le 21-juil.-06, à 17:52, Brent Meeker a écrit :

> If there is anything left over. I don't think it is sufficiently
> appreciated that this
> "unknowability" is an assumption.

No bigger than the "assumption" that "other" minds exists (a key
assumption in comp if only through the trust to the doctor).

And then it is a theorem that for any correct machine there are true
propositions about them that the machine cannot prove.

Modeling (at first) knowledge by [true justified opinion] (Theaetetus)
and modeling (at first) the [justified opinion] by the machine
provability ability (in the sense of Godel), gives a theory justifying
that for each correct machine there exist true unknowable propositions.
More can be said: if you have two machines M1 and M2 having similar
complexity there will be truth about M1 which are unknowable by M2 and
vice versa.

Bruno


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


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Received on Sat Jul 22 2006 - 09:23:38 PDT

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