rereading letter from kuert goedel to von neumann concerning facility of turing machine versus levels of uncountability. first blush - reminiscent of Einstein quote not everything that can be counted, counts...
well certainly we seem ready to say for example counting from 1 thru infinity is a very different problem ("set", "a") than raising any number in that "set""a" to a power because one must first obtain the number in the set then perform a function on it, and that number is larger than the number in "set""a".
reference to post's problem also. good letter. take this thing one way:
ll artists, well maybe i should say all good artists belabor the struggle to infinity, within infinity as this - really it is a bigger set of problems in many ways than einstein's struggle with relativity. which is why i prefer solving nyumber theory issues than studying high energy physics from a post hoc approach (example http://xxx.lanl.gov/list/gr-qc/ )
is there anything new in confronting this the central issue of not our time now but all times? so far no.
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