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To: onmyfeet
But there are plenty of relatively simple unproven conjectures, such as Goldbach's conjecture (that every even integer greater than two is the sum of two primes), that people have speculated may in fact be true but not provable in Godel's sense. Instead he throws in the ridiculous and misleading statment that the primality of 11 may not be decidable; i.e., that perhaps mathematicians may have been wrong in thinking it was, lol! Davies is a bit of a joke sometimes.
17 posted on 02/24/2004 8:21:35 AM PST by LibWhacker
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To: LibWhacker
Instead he throws in the ridiculous and misleading statment that the primality of 11 may not be decidable

Well, no. He didn't say that. He gave the primality of 11 as an example of a mathematical truth, and then went on to say that the truth of some mathematical statements is undecidable.

I do disagree with Davies, however, that Gödel's theorem has anything to do with physics. Gödel's theorem only applies to certain types of formal systems. It is by no means clear that there exists no formal system appropriate for describing physics that is free from undecidable propositions. Furthermore, if even if all appropriate systems suffer this blind spot, it isn't clear that it would conceal anything important about the universe.

20 posted on 02/24/2004 8:43:42 AM PST by Physicist
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