From: Bill Hibbard (test@demedici.ssec.wisc.edu)
Date: Fri Oct 08 2004 - 10:36:21 MDT
Hi Christain,
I little more reponse to your last post.
> . . .
> Now, let me come to my refutation of the argument of Penrose:
> . . .
> So, the reason why his argument fails is that he does not
> actually ask the reader the question
> "Will TM_k stop on input k?"
> ,but:
> "Take an extremely complicated true statement S the answering
> of which exceeds your mental capabilities. Is S true or not?"
I think this is equivalent to my answer to Penrose, because
the step of transforming the question "Will TM_k stop on input k?"
into the "extremely complicated true statement S" requires arithmetic
on arbitrary integers, which "exceeds your mental capabilities".
Cheers,
Bill
This archive was generated by hypermail 2.1.5 : Tue Feb 21 2006 - 04:22:46 MST