Re: Ascension (was Re: Smullyan Shmullyan, give me a real example)

From: Quentin Anciaux <quentin.anciaux.domain.name.hidden>
Date: Tue, 30 May 2006 19:44:07 +0200

Hi,

>From what you've said about dovetailing before, you don't have to have
>
> just a single sequence in order to dovetail. You can jump among
> multiple sequences. I have yet to understand how you could dovetail on
> something that is not effective.

I think dovetailing is possible because the dovetailer only complete sequences
at infinity. So when you construct the matrice on which you
will "diagonalize", you are already diagonilizing it at the same time.
Example: when you have the first number of the first growing function, you
can also have the first number of the diagonalize function (by adding 1) and
the first number of the diagonalize*diagonalize function and ... ad recursum.
By dovetailing you execute in fact everything in "parallel" but all infinites
sequences are only completed at infinity.

Quentin Anciaux

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Received on Tue May 30 2006 - 13:45:09 PDT

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