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Re: Weierstrass
Posted:
Jul 9, 2004 7:39 AM
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Eckard Blumschein <blumschein@et.uni-magdeburg.de> wrote:
> David W. Cantrell wrote:
>
> > I suspect I do: Eric Weisstein wrote "strangely" because the words
> > "open" and "closed" _seem_, based on their extramathematical meanings,
> > to contradict each other.
>
> Isn't the mathematical meaning: Zero is included as well as excluded?
No.
> This is exactly what I am trying to suggest for any infinitely precise
> real, not just for zero. If a frontier stone of zero dimensions is
> immediately surrounded by infinitely much of very similar stuff, then
> its removal or the opposite does not matter at all. I suspect: Included
> and excluded do contradict in mathematics too, unless they refer to
> something infinitesmal small.
How about condensing your "infinitesmal small"
to get "infinite-small" ? ;-)
DWC
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