```Date: Mar 2, 2013 6:01 PM
Author: Graham Cooper
Subject: Re: |R| > oo

On Mar 3, 7:35 am, "Ross A. Finlayson" <ross.finlay...@gmail.com>wrote:> On Mar 2, 12:30 pm, Graham Cooper <grahamcoop...@gmail.com> wrote:>>>>>>>>>> > On Mar 2, 7:28 pm, Rupert <rupertmccal...@yahoo.com> wrote:>> > > On Friday, March 1, 2013 9:39:31 PM UTC+1, Graham Cooper wrote:> > > > A LIST oo ROWS LONG!>> > > > 0.00...>> > > > 0.00...>> > > This post is incoherent dribble.>> > I showed a partial infinite list of reals.>> > 0.00..> > 0;00..> > ..>> > Do you have an ANTI-DIAGONAL function to support your claims it is> > incomplete?>> > What is your anti-diagonal function?>> > Herc>> How would you establish that the expansions you begin to detail would> map on to any segment of R?>> Well, that gets into whether the function, that makes a list these> expansions, has as a range, an interval of reals.>> So, look at the equivalency function, as I call it, it's quite well-> defined, it goes to one, and in binary there's only one anti-diagonal,> and it's one.>> I'll agree that a more carefully defined function, that would have as> each initial segment of each initial segment, of a matrix of values of> the expansions, zeroes, with the only anti-diagonal in binary being> ones, with real value one, may go from zero, to one.>> And:  only one does.>> Then, for a conscientious mathematician, formalist year-round, that's> compelling.>> There are lots who would work in foundations, but transfinite> cardinals aren't used in real analysis, or continuum analysis for> applications and physics.  And, physics needs new methods to explain> results of experiment.  And, results in the digital are available via> asymptotics.  Good day.>> Regards,>> Ross Finlayson>So your argument is:----------------------------------------Given this sample of a list oo rows long IN BINARY0.00..0.00....We know 0.11..is missing from the List by Extrapolation over all digit positions.----------------------------------------Given this sample of a list oo rows long IN TERNARY0.00..0.00....We know0.11..0.12..0.21..0.22..are missing from the List by Extrapolation.----------------------------------------Given this sample of a list oo rows long IN BASE 40.00..0.00....We know0.11..0.12..0.13..0.21..0.22..0.23..0.31..0.32..0.33...are missing from the List by Extrapolation.----------------------------------------Since all above arguments must hold, the latter more absurd ones areenough to throw doubt on Cantors Method - which is actually justinduction over ALL sizes of FINITE lists, since no_new_digit_string iscalculated in the Anti-Diagonal on some infinite lists of reals.Herc--www.BLoCKPROLOG.com
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