Date: Dec 26, 2012 12:15 AM
Author: Graham Cooper
Subject: Re: Simple Refutation of Cantor's Proof
On Dec 26, 1:23 pm, Virgil <vir...@ligriv.com> wrote:

> In article

> <aa637598-f327-464f-954b-9cdbe4c87...@i2g2000pbi.googlegroups.com>,

> Graham Cooper <grahamcoop...@gmail.com> wrote:

>

> > > Since the constructed string must differ from each string listed in L in

> > > a way that gives it a different value from that listed string, how can

> > > it possibly still be among a set of values from which it is by

> > > construction excluded?

>

> > the size of the string is not fixed.

>

> The one to be constructed is constructed to be of the same length as

> the ones listed.

>

>

>

> > You construct a portion, you construct another portion, and you never

> > stop.

>

> One usually creates a rule which defines all the digits of the

> construction simultaneously.

>

Right but your rule is just applied to one digit at a time

and it equally applies to the whole plane.

+----->

| 0. 542..

| 0. 983..

| 0. 143..

| 0. 543..

| ...

v

AD = 0.656...

Transpose Plane

+----->

| 0. 666..

| 0. 556..

| 0. 666..

| 0. 666..

| ...

v

D = 0.656...

Just use the Transpose Plane intermediate step to see your error.

Herc