
Re: Matheology § 263
Posted:
May 14, 2013 12:22 AM


On May 14, 1:36 pm, Virgil <vir...@ligriv.com> wrote: > In article > <d8620fe3928d4bc5bf24b16bee326...@wb17g2000pbc.googlegroups.com>, > Graham Cooper <grahamcoop...@gmail.com> wrote: > > > On May 14, 11:09 am, Virgil <vir...@ligriv.com> wrote: > > > In article > > > <4f6cc18e90b2415e83aa963e1c083...@n5g2000pbg.googlegroups.com>, > > > Graham Cooper <grahamcoop...@gmail.com> wrote: > > > > > such as Virgil's favorite number! > > > > > 0.44444454444444444445444444545544444444445444444444444... > > > > That denotes, as yet, any of a range of real numbers, not any specific > > > one, and whichever ones in that range Graham finds his favorite, none of > > > them are anything like my favorite. > > > Real numbers of that form are all you need to show > > I don't need to show any any such numbers. > > > > >  POINTS  >  INFINITE LIST  > > > between these 2 bars! > > > >< > > > Here's another one > > > 0.4444444444445444444444454444445444444444454444445444444... > > > Remember your hero CANTOR showed you how to CONSTRUCT that number! > > > You post 20 times a day the Algorithm (sic) to construct that real! > > The algorithm I regularly post, and Cantor first used, is for binary > sequences not decimals. > > Neither type of "antidiagonal" is defined without an infinite list of > sequences of the the appropriate type from which to build it, which > lists you have not provided, so no antidiagonal need exist until you do. >
Such algorithms have been posted 100 times.
Though You have no clue what Cantor's Missing Set function actually does.
SET1 = { 1 , 3 , 6 } SET2 = { 1 , 5 , 11 } SET3 = { 2 , 4 , 6, 8 , 10 , ... } SET4 = { 4 , 5, 6, 7, 8 }
[VIRGIL]
Given an arbitrary function f from N to the powerset of N (set of all subsets of N), the set S = {n in N  ~ n in f(n)} is a subset of N not in the image of f, and thus is a proper "Cantor's missing set".
You learnt this magic formula off by heart and you have no idea how to apply it!
and the Missing Set from the above enumeration is.... ?
Herc  www.BLoCKHeaDs.com

