Among other possible types of limitations: (Scientific American, p. 19, March 2009):
1. Heisenberg's Uncertainty Principle (HUP). ..."Heisenberg discovered that improved precision regarding, say, an object's position inevitably degraded the level of certainity of its momentum." 2. "Kurt Godel showed that within any formal mathematical system advanced enough to be useful, it is impossible to use the system to prove evfery true statement that it contains." 3. "...Alan Turing demonstrated that one cannot, in general, determine if a computer algorithm is going to halt". 4. New theorem of David H. Wolpert, NASA Ames Research Center. " ... has chimed in with his version of a knowledge limit. Because of it, he concludes, the universe lies beyond the grasp of any intellect, no matter how powerful, that could exist within the universe." "...no matter what laws of physics govern a universe, there are inevitably facts about the universe that its inhabitants cannot learn by experiment or predict with a computation". [brief comment on the last one. To get around such arguments against Omniscience, Fundamentalists are fond of saying that their "God" is beyond the universe, thus negating Wolpert's theorem. But various philosophical arguments can be brought to bear on counteracting the Fundies. Some of these will be presented shortly.
