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Topic: 6 QUESTIONS That No LOGICIAN Can Answer!!!!!!
Replies: 15   Last Post: Aug 18, 2012 8:12 AM

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 Graham Cooper Posts: 4,030 Registered: 5/20/10
Re: 6 QUESTIONS That No LOGICIAN Can Answer!!!!!!
Posted: Aug 17, 2012 10:17 PM

On Aug 18, 9:53 am, William Hughes <wpihug...@gmail.com> wrote:
> On Jul 12, 8:54 pm, Graham Cooper <grahamcoop...@gmail.com> wrote:
>

> > Q1
> > What are 2 missing reals from this List using Cantor's method?

>
> > LIST
> > 0.100..
> > 0.000..
> > 0.001..

>
> A real that begins 0.010...
> (also missing from LIST')
>

> > ..
> > LIST'
> > 0.000..    (Old Row 2)
> > 0.100..    (Old Row 1)
> > 0.001..
> > ..

>
> A real that begins 0.110..
> (also missing from LIST).

So just by examining

LIST
0.100..
0.000..
0.001..
..

you can calculate

0.010..
0.110..

are BOTH missing?

[X] stands for NOT X.

LIST
0.[1]00..
0.0[0]0..
0.00[1]..
..
==> 0.010..

LIST
0.1[0]0..
0.[0]00..
0.00[1]..
..
==> 0.110..

because you can flip the first digit (of some row)
and flip the second digit (of some row)
(without missing any rows)?

So some real beginning

0.000...
0.001...
0.010...
0.011...
0.100...
0.101...
0.110...
0.111...

are all missing too right?

Herc

Date Subject Author
7/12/12 Graham Cooper
8/17/12 William Hughes
8/17/12 Graham Cooper
8/17/12 William Hughes
8/17/12 Graham Cooper
8/17/12 William Hughes
8/17/12 Graham Cooper
8/17/12 William Hughes
8/18/12 Graham Cooper
8/18/12 William Hughes
8/18/12 Graham Cooper
8/18/12 William Hughes
8/17/12 Virgil
8/18/12 Graham Cooper
8/18/12 Virgil
8/17/12 Virgil