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From: |-|ercules on 5 Jul 2010 22:17
"George Greene" <greeneg(a)email.unc.edu> wrote
> On Jul 5, 7:29 pm, "|-|ercules" <radgray...(a)yahoo.com> wrote:
>> But I've done enough on this topic this round,
>
> No, you haven't. You still haven't DEFINED what it means for a LIST
> to COVER a SEQUENCE
> (finite or otherwise -- if the list is infinite then it can also cover
> an infinite sequence).
>
>> if I come up with some formal distinction
>
> You DON'T NEED a distinction -- formal or otherwise -- between "finite
> prefix" and "finite sequence"
> BECAUSE THERE ISN'T ANY -- EVERY finite prefix IS a finite sequence
> and EVERY finite sequence
> IS a finite prefix.

That is a rubbish argument, every finite sequence is a (special type of) finite prefix.

If you can't support your assertion, stop repeating it.

Transfinite theory DEPENDS on the list of all finite sequences being synonymous with the list of
all computable reals regarding possible digit permutations, yelling that it must be so doesn't help
your sad case. Stop reverse engineering your theorems and do some maths.

You can keep yelling <1 2 3> = < [1 2 3] 4 5 6..> if you think it helps.
I hear you George, I hear you.

Herc

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