*NEW DIGIT SEQUENCE* is an OXYMORON!
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From: George Greene on 14 Jun 2010 22:37 On Jun 14, 4:55 pm, Graham Cooper <grahamcoop...(a)gmail.com> wrote: > > > similarly computable sequences contain every digit of every > > > possible sequence I retorted, > > Every possible FINITE sequence, DUMBASS. > > Since uncomputable sequences ARE ALL INFINITE, this is just > > irrelevant. > > That is not similar to the statement about pi This IS SO TOO similar to the statement about Pi. > this list contains every digit of pi The list 0 1 2 3 4 5 6 7 8 9 ALSO contains every digit of Pi, AND OF EVERYTHING ELSE, since that's all the digits THAT THERE ARE. THE RELEVANT property of this list is that it contains every FINITE INITIAL SUBSTRING of Pi. There is a very simple (computable) list that contains every finite initial substring OF EVERY real, computable OR NOT. You DO NOT EVEN NEED to go to a list of infinitely wide reals (let alone "the list of all computable reals", which is itself NOT computable) to cover this. The fact that every finite initial substring of some real is on a list DOES NOT IMPLY that THAT real is on the list. The fact that every finite initial substring of EVERY real is on a list does not imply that every real is on a list, OR THAT ANY uncomputable real is on the list. > > (pi is an infinite sequence) > > similarly > > Computable sequences contain every digit of every Possible infinite > sequence > > Herc > > please try to comprehend the above fully before retorting |