May I take this in a different direction? We often assume that
while our non-analytic statements in science are _quantitatively_
approximate, they are _qualitatively_ exact - i.e., that we're at least
using the right concepts. E.g., we know the simultaneous position (q) &
momentum (p) of a particle only approximately, but that the particle
really has such an exact q & p, _and that God knows what they are_. But
on a maximal interpretation of the uncertainty principle, this is
incorrect. q & p are not the types of things which _can_ have exact
values simultaneously, & I think we have to say that _God_ does not know
such values. This does not contradict divine omniscience, any more than
does the statement that God doesn't know the color of truth - because
truth doesn't have a color.
George L. Murphy
gmurphy@imperium.net
http://www.imperium.net/~gmurphy