Are you saying that he must be a timeless being in order to be omnicient?
I have only limited math expreience (Calc. I), and I apologize. I'm just
interested in your line of thinking.
Anya
===== Original Message From Publius <m.publius@nospam.comcast.net> =====
Ted King <lodited@yahoo.com> wrote in
news:lodited-76B4A7.05505804022005@newssvr24-ext.news.prodigy.com:
If the Demon were
omniscient he could just "read off a list", but if it wasn't
omniscient, yet had infinite intellectual capacity, it seems like it
could still deduce a particular event if the physical universe were
deterministic.
But could he do it quickly enough for it to count as a prediction? He must
either calculate in finite time, or instantaneously. If the latter, he is a
timeless being for whom all events are simultaneous; hence he is omniscient
and no calculation is necessary. If the former, then we can make the system
complex enough and choose T0 and Tn in such a way that the finite time
available to him is inadequate; Tn will occur before the calculation is
finished, and he will not have predicted it.
At least, that's my conjecture. :-)
.