Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Topic: CHANGING THE DIAGONAL!
Replies: 6   Last Post: Dec 29, 2012 4:14 AM

 Messages: [ Previous | Next ]
 Graham Cooper Posts: 4,417 Registered: 5/20/10
Re: CHANGING THE DIAGONAL!
Posted: Dec 29, 2012 4:14 AM

On Dec 29, 5:27 pm, Virgil <vir...@ligriv.com> wrote:
> In article
>  Graham Cooper <grahamcoop...@gmail.com> wrote:
>
>
>
>
>
>
>
>
>

> > On Dec 29, 3:18 pm, Virgil <vir...@ligriv.com> wrote:
> > > In article
> > >  Graham Cooper <grahamcoop...@gmail.com> wrote:

>
> > > > On Dec 29, 11:37 am, Virgil <vir...@ligriv.com> wrote:
> > > > > In article
> > > > >  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 to
> > > > extrapolate 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.
>
> > > As a function of the input certainly, but one theat function is defined
> > > the process is essentially completed.

>
> > > > In this case, you cannot ANTI-DIAGONALISE an infinite set.
>
> > > > Every digit you change is substitutable by another digit in another
> > > > permutation.

>
> > > I have defined a function which does it automatically for any and every
> > > list of endless sequences of decimal digits, giving a resulting sequence
> > > not listed in that list.

>
> > It has a parameter that only works given LIST format.
>
> > It doesn't prove a SET of reals is in-complete.
>
> The set of all reals is not complete, but it also cannot be listed.
>
>
>
>
>
>
>
>
>
>
>

> > Here is the SET of all reals.
>
> > UTM( real , digit )   [mod 10]
>
> > that is a complete specification of the set.
>
> > However, there are infinitely many permutations, due to there being
> > infinitely many universal turing machines in infinitely many different
> > languages.

>
> > Since your process has a free variable, the never ending cross-
> > sequence you compute is dependent on your own selected free variable,
> > the permutation you must select for listable format for your process
> > to work.

>
> > IF you got out of your corner and examined the other methods put forth
> > you would see this.

>
> > IS   0. T(2,1)  T(1,2)  T(3,3)  T(4,4) ...
>
> > absent from L?
>
> > T is the list of all reals with the digit changing function applied to
> > all digits of every real.

>
> You are assuming that there can be a list of all real as a step in
> trying to prove that there can be such a list.
> Such argiuments, being circular, are invalid.
>
>
>

> > If you cannot address the posts in the group you should stop yourself
> > from arguing against them.

>
> I am well able to spot you flaws.
>

No you are on a totally different topic every post.

If I post a question you ignore it.

Your silly habbit of trolling logic theories all day is very
detrimental this is not a game.

You do not understand any posts you reply to, you have read other
mathematicians rebutalls of countable theories and you parrot those
arguments.

Just because the topic is CANTORS PROOF

does not mean the post is about what you know.

Either discuss the flipped List T or stop posting irrelevant nonsense!

Herc

Date Subject Author
12/28/12 Graham Cooper
12/28/12 Virgil
12/28/12 Graham Cooper
12/29/12 Virgil
12/29/12 Graham Cooper
12/29/12 Virgil
12/29/12 Graham Cooper