ellis@flairvax.UUCP (Michael Ellis) (07/17/83)
I repeat Krzysztof's apology to this newsgroup, but perhaps this discussion really belongs not in net.math, but in the nonexistent net.metaphysics. I would have sent this to net.religion, were it not for the insane raving there. Many people (including myself) are guilty of applying Goedel's theorem where its use is totally unjustified. For centuries, our computationally-oriented culture seems to have believed that everything in the universe (if only in theory) can be expressed in rigorous mathematical language, with a fair amount of success, I might add. This seems to be THE durable religion in the occidental world. It's clear that once a phenomenon has been shown to be a 'formal system' (even if all the details are not known), the full force of Goedelian arguments may be brought into play. Does anyone know whether the implications of quantum mechanics preclude the possibility of the universe being a 'formal system' ? -michael