Date: Jan 1, 2013 5:57 PM
Author: Virgil
Subject: Re: Uncountable Diagonal Problem
In article

<659c05ff-5b34-4ebe-9617-4d54292a9e0b@pp8g2000pbb.googlegroups.com>,

"Ross A. Finlayson" <ross.finlayson@gmail.com> wrote:

> The transfinite course-of-passage in well-ordering the reals sees a

> diminishing interval. Do the endpoints of the interval meet, in the

> well-ordering? A critical point of Cantor's first is that the

> intersection is non-empty.

It is a well known property of the real number line, at least among

mathematicians, that nested sequence of closed intervals has non-empty

intrsection.

Doe Ross claim otherwise?

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