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/


--~--~---------~--~----~------------~-------~--~----~
You received this message because you are subscribed to the Google Groups 
"Everything List" group.
To post to this group, send email to everything-list@googlegroups.com
To unsubscribe from this group, send email to [EMAIL PROTECTED]
For more options, visit this group at 
http://groups.google.com/group/everything-list
-~----------~----~----~----~------~----~------~--~---

Reply via email to