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 1 Jul 2010 23:44 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? Herc -- Conan do we REALLY have to hear the lamentations of the women?
From: |-|ercules on 2 Jul 2010 19:52 "Joshua Cranmer" <Pidgeot18(a)verizon.invalid> wrote... > On 07/02/2010 01:02 AM, |-|ercules wrote: >> Meanwhile a round robin helicopter contingent hovers over me for the >> last 20 years poking LASER signals at me that listen to audio > > Lasers are electromagnetic waves. Sonic waves are mechanical pressure waves. LASER to audio. Audio to RADAR? IR and microwaves will heat the air enough to make noise if modulated at audio frequencies. The govt. have a mega omnipresent PA system, 10,000 Australians have heard it follow me everywhere. It tracks me on buses, 1400km drives, inside buildings, on the beach, 30km from nowhere in the bush. Next you'll be telling me it's in my head. Only 100,000 people have read this claim, 0 have bothered to show up and be a witness for me. For the 1000th time PROOF ON SIGHT. http://groups.google.com/groups/search?q=author:"|-|erc"+TORTURE Results 1 - 10 of about 337 for author:"|-|erc" TORTURE With a little publicity and some volunteer witnesses we could expose this conspiracy against me Sonic Torture Has Been Going For 3012 Days, 02 Hours, 50 Minutes, 56 Seconds. Including Sleep As They Mimic Characters And Interrogate My Dreams Too! Herc
From: David R Tribble on 3 Jul 2010 00:01 |-|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?
From: |-|ercules on 3 Jul 2010 01:37 "Tim Little" <tim(a)little-possums.net> wrote ... > On 2010-07-02, |-|ercules <radgray123(a)yahoo.com> wrote: >> All sequences doesn't quite make it to infinity?? > > All *finite* sequences. And yes, you can have all finite sequences of > a number in a list without having the number itself in a list. What's > so surprising about that? > > >> It misses some? > > It misses almost all of them. > > > - Tim But the list of computable reals contains infinite expansions, with every possible digit combination reaching infinity. Have you read my fencing Vs mowing analogy? Finite sequences are fences, and at the limit all fences are finite. Samples of finite prefixes are mown grass, and at the limit the infinite lawn is mown. i.e. your method of determining the computable sequences are ALL but FINITE is incorrect. Herc
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 |