As the length of the list of computable reals->oo, the length of all possible digit sequences on the list->oo.
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From: |-|ercules on 3 Jul 2010 02:37 "David R Tribble" <david(a)tribble.com> wrote ... > |-|ercules wrote: >> As the length of the list of computable reals->oo, the length of >> all possible digit sequences on the list->oo. >> >> What's your explanation for what happens if the list IS infinitely >> long? All sequences doesn't quite make it to infinity?? >> It misses some? > > Is there a difference between a list of digit sequences with lengths > approaching infinite length, and a list of digit sequences that are > infinite in length? Yes but that's not the assertion. It's the 'covered sequences' within the infinite sequences that approaches infinity. For each subset of reals, there exists a maximum digit length that that subset doesn't miss a possible sequence of initial digits of that digit length. Binary example 00000000... 01111111... 01011111... 01000000... 01010101... 00111111... 11111111... 11000000... 11011111... 10000000... 10111111... 11000000... The length of all possible digit sequences within the set is 3. Want to see a bigger list and see what happens? Herc
From: The Raven on 4 Jul 2010 06:26 "David R Tribble" <david(a)tribble.com> wrote in message news:00bf767e-02d9-49d9-8366-d94115fbf79e(a)i28g2000yqa.googlegroups.com... > |-|ercules wrote: >> As the length of the list of computable reals->oo, the length of >> all possible digit sequences on the list->oo. >> >> What's your explanation for what happens if the list IS infinitely >> long? All sequences doesn't quite make it to infinity?? >> It misses some? > > Is there a difference between a list of digit sequences with lengths > approaching infinite length, and a list of digit sequences that are > infinite in length? Could everyone reading this thread please stop the off topic cross posting to aus.tv. Yes, I know some morons keep adding it but you should take a look at the crossposted NGs before hitting send.
From: Ostap Bender on 5 Jul 2010 04:10 On Jul 1, 8:44 pm, "|-|ercules" <radgray...(a)yahoo.com> wrote: > As the length of the list of computable reals->oo, the length of all possible digit sequences on the list->oo. > > What's your explanation for what happens if the list IS infinitely long? You've lived an infinitely long life and you've spent it writing down numbers. > All sequences doesn't quite make it > to infinity?? It misses some? > > Herc > -- > Conan do we REALLY have to hear the lamentations of the women?
From: |-|ercules on 5 Jul 2010 07:33 "Tim Little" <tim(a)little-possums.net> wrote ... > On 2010-07-02, |-|ercules <radgray123(a)yahoo.com> wrote: >> What's your explanation for what happens if the list IS infinitely >> long? All sequences doesn't quite make it to infinity?? It misses >> some? > > One question I've been meaning to ask you: in your opinion, does > Champernowne's constant contain pi? It does contain all finite digit > sequences of pi. > > > - Tim It contains pi, segmented. You have to stop thinking of infinity as a really long string for a moment, because there's no infinite string of pi inside root 2 or e etc. but the further you go along the string the longer and longer sequences are found. Good counter argument you have there! Although I would think it fits in my category of increasing finite strings Vs increasing samples of prefixes. Herc
From: George Greene on 5 Jul 2010 14:36
On Jul 5, 5:20 am, Barb Knox <s...(a)sig.below> wrote: > I doubt he's lying. He certainly seems convinced about his > anti-Cantorian nonsense, No, really, he doesn't. The whole point is that it IS nonsense. He can't even sustain a discussion of it. Every time he is about to be pinned down on a point, he miraculously has an attack of ADD and starts talking about something else. Herc is probably trolling. > and it's entirely plausible that he really is > feeling tortured by the noises in his head. Barb, PLEASE!! HOW COULD YOU KNOW what is or isn't plausible about that sort of thing?? Do you have a psychology degree TOO?!? And it's frankly NOT plausible. Anybody who was ACTUALLY feeling that would be TOO debilitated to do this much OF THIS! |