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Topic: Cantor's Faulty Induction Method
Replies: 3   Last Post: Mar 2, 2013 8:13 PM

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Graham Cooper

Posts: 4,321
Registered: 5/20/10
Re: Cantor's Faulty Induction Method
Posted: Mar 2, 2013 8:13 PM
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On Mar 3, 9:24 am, Rupert <rupertmccal...@yahoo.com> wrote:
> On Saturday, March 2, 2013 11:51:38 PM UTC+1, Graham Cooper wrote:
> > On Mar 3, 8:07 am, Rupert <rupertmccal...@yahoo.com> wrote:
>
> > > On Saturday, March 2, 2013 9:54:38 PM UTC+1, Graham Cooper wrote:
>
> > > > Given a part of a LIST 3X3 digits
>
> > > > LIST DUMP
>
> > > > 0.223
>
> > > > 0.443
>
> > > > 0.776
>
> > > > An AD Function Exists that calculates a Missing Real 3 digits long
>
> > > > D=0.246
>
> > > > AD=0.665
>
> > > > ----------------
>
> > > > Given a part of same LIST 4X4 digits
>
> > > > LIST DUMP
>
> > > > 0.2232
>
> > > > 0.4433
>
> > > > 0.7766
>
> > > > 0.9988
>
> > > > An AD Function Exists that calculates a Missing Real 4 digits long
>
> > > > D=0.2468
>
> > > > AD=0.6656
>
> > > > ----------------
>
> > > > Given a part of same LIST 5X5 digits
>
> > > > LIST DUMP
>
> > > > 0.22322
>
> > > > 0.44333
>
> > > > 0.77666
>
> > > > 0.99888
>
> > > > 0.11100
>
> > > > An AD Function Exists that calculates a Missing Real 5 digits long
>
> > > > D=0.24680
>
> > > > AD=0.66566
>
> > > > ----------------
>
> > > > Given a List of NXN digits
>
> > > > An AD Function Exists that calculates a Missing Real N digits long
>
> > > > ->
>
> > > > Given a List of N+1XN+1 digits
>
> > > > An AD Function Exists that calculates a Missing Real N+1 digits long
>
> > > > By Induction
>
> > > > For ALL Sizes of All Lists a Missing Real Exists!
>
> > > > Herc
>
> > > > --
>
> > > >www.BLoCKPROLOG.com
>
> > > It's not an induction argument.
>
> > This is!
>
> > By Induction
>
> > For ALL Sizes of All Lists a Missing Real Exists!
>
> > Agree or not?
>
> > Herc
>
> What do we mean by "for all sizes"? Do we mean for all ordinals from 0 to omega inclusive?



ALL(N) ALL(M)

LIST.dimensions(N,M)
LIST is missing real

although induction over 2 variables is more convoluted that that
presented.

Herc



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