Ah, but there's a problem here. I've heard it said that honest mathematicians will admit that math cannot accurately desribe the world, though I can't back that statement up at this time.
So if you accept my premise that math can't accurately model the world, then Godel's theorem doesn't apply to the real world, it only applies to the world of mathematics.
This was unfair of me. What I should have said was that the theorem demonstrates that there is a flaw in the system of logic. That while logic is a solid system, it rests on axioms that cannot be proven true outside of its system.
And the nitty-gritty of the world is more mathematical than you give credit.
I think many people ignore the statement, "To every rule there is an exception," which points out that many things cannot be pinned down as being absolute truth, they just represent the statistical majority of occurrences. Thus mathematics, in insisting that everything be either true or false thus errs.
(no subject)
Date: 2005-06-09 07:46 pm (UTC)So if you accept my premise that math can't accurately model the world, then Godel's theorem doesn't apply to the real world, it only applies to the world of mathematics.
(no subject)
Date: 2005-06-09 07:59 pm (UTC)(no subject)
Date: 2005-06-09 08:37 pm (UTC)And the nitty-gritty of the world is more mathematical than you give credit.
(no subject)
Date: 2005-06-09 11:39 pm (UTC)(Has nothing to do with the argument)
(no subject)
Date: 2005-06-09 11:42 pm (UTC)