Re: Cantor's Diagonal

From: GŁnther Greindl <guenther.greindl.domain.name.hidden>
Date: Fri, 21 Dec 2007 13:08:38 +0100

Hi Russell,

Russell Standish wrote:

> In your first case, the number (1,1,1,1...) is not a natural number,
> since it is infinite. In the second case, (0,0,0,...) is a natural
> number, but is also on the list (at infinity).

Why is (1,1,1,...) not in the list but (0,0,0,...) in the list at
infinity? This seems very arbitrary to me.

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)

Regards,
GŁnther


-- 
GŁnther 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 - 07:12:05 PST

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