```Date: Dec 28, 2012 10:32 PM
Author: Graham Cooper
Subject: Re: CHANGING THE DIAGONAL!

On Dec 29, 11:37 am, Virgil <vir...@ligriv.com> wrote:> In article> <adde38fa-1e63-43a1-94f0-908da37a4...@s6g2000pby.googlegroups.com>,>  Graham Cooper <grahamcoop...@gmail.com> wrote:>>>>>>>>>> > +----->> > | 0. 542..> > | 0. 983..> > | 0. 143..> > | 0. 543..> > | ...> > v> > OK - THINK - don't back explain to me.> > You run down the Diagonal  5 8 3 ...> > IN YOUR MIND ->> > [1]> > you change each digit ONE AT A TIME> > 0.694...> > but this process NEVER STOPS>> > [2]> > so you NEVER CONSTRUCT A NEW DIGIT SEQUENCE!>> That is like saying that the function f+ |N -> |N : x \_--> x^2> never ends.Right!  but since it has no free variable input to apply it's safe toextrapolate results toward infinity.>> As soon as one has a completed rule by which values of the function are> determined from its domain to its codomain, the function is defined.>> E.g., f:|N --> |N : 2 |--> 2*x+1> is  completed function>> Thus a rule or function for determining anti-diagonal digits creates the> entire anti-diagonal list of digits in one step.>dependent on the input.In this case, you cannot ANTI-DIAGONALISE an infinite set.Every digit you change is substitutable by another digit in anotherpermutation.Herc
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