Virgil
Posts:
4,486
Registered:
1/6/11
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Re: Uncountable Diagonal Problem
Posted:
Jan 1, 2013 5:57 PM
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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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