Re: Cantor's Diagonal

From: Günther Greindl <guenther.greindl.domain.name.hidden>
Date: Fri, 21 Dec 2007 13:30:33 +0100

Hi,

> Because zero even repeated an infinity of time is zero and is a natural
> number. (1,1,1,...) can't be a natural number because it is not finite and a
> natural number is finite. If it was a natural number, then N would not have a
> total ordering.

Ok agreed: I was caught up in viewing it simply as an "indexing" scheme,
but viewed constructively I of course agree. My error.

>> I am becoming more and more an ultra-finitist. Arguments with infinity
>> seem to be very based on the assumptions you make (about platonia or
>> whatever)
>
> Finite and infinite concepts are dual concepts you can't leave one without
> leaving the other.

Could you elaborate some more on this?

Regards,
Günther

-- 
Günther Greindl
Department of Philosophy of Science
University of Vienna
guenther.greindl.domain.name.hidden
http://www.univie.ac.at/Wissenschaftstheorie/
Blog: http://dao.complexitystudies.org/
Site: http://www.complexitystudies.org
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Received on Fri Dec 21 2007 - 07:33:57 PST