Prev: 2010 FIFA World Cup Real Madrid Club football jersey
Next: fminsearch
From: Graham Cooper on 14 Jun 2010 17:43
On Jun 15, 7:04 am, stevendaryl3...(a)yahoo.com (Daryl McCullough)
wrote:
> Graham Cooper says...
>
> >Computable sequences contain every digit of every Possible infinite
> >sequence
>
> Nobody said otherwise, and that has nothing to do with Cantor's
> proof. You are deeply confused.
>
> Cantor's theorem is: For any sequence of reals r_1, r_2, ..., there
> is a real d such that forall n, d is unequal to r_n.
>
> Your point about "computable sequences contain every digit of every
> possible infinite sequence" has *nothing* to do with Cantor's theorem.
> It's true, but irrelevant. The fact that you think it is relevant shows
> how completely confused you are.
>
> --
> Daryl McCullough
> Ithaca, NY


What does your antidiagonal look like?

Give us an example. Describe it graphically

Herc
From: Daryl McCullough on 14 Jun 2010 18:36
Graham Cooper says...

>What does your antidiagonal look like?

Haven't you been told that many times?

>Give us an example. Describe it graphically

You've been given examples, many times.

--
Daryl McCullough
Ithaca, NY

From: Tim Little on 14 Jun 2010 20:01
On 2010-06-14, |-|ercules <radgray123(a)yahoo.com> wrote:
> Lists are not sets now?

No. Lists are functions for which the domain is an initial segment of
finite ordinals. You could model the function by a set of ordered
pairs, and the domain and range of the function are sets, but lists in
general are not the same thing as sets.


- Tim
From: Tim Little on 14 Jun 2010 20:05
On 2010-06-14, |-|ercules <radgray123(a)yahoo.com> wrote:
> Here is a counterintuitive argument about properties of infinite SETS and their ELEMENTS.
>
> In pure functional programming there is no repeated input, there is a single input
> stream and there is some tricky redirection in order to process that stream interactively.
[...]
> In this context,
>
> 3
> 31
> 314
> 3141
> 31415
> ...
>
> and
>
> 31415...
>
> are 100% EQUIVALENT DATA.

Distinctions that are present in mathematics are lost in mere
programming models.


> So when you consider the whole set, it DOES have a new property.
> That all digit sequences are computable to infinite length.

That is not true even in programming. You don't know the definition
of "computable sequence" or what it means.


- Tim
First  |  Prev  | 
Pages: 1 2 3 4 5 6
Prev: 2010 FIFA World Cup Real Madrid Club football jersey
Next: fminsearch