Virgil
Posts:
401
Registered:
12/6/04
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Re: Weierstrass
Posted:
Jul 9, 2004 4:11 PM
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In article <40EE81BB.2000507@et.uni-magdeburg.de>,
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?
> 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.
>
> Eckard
Where of Eckard's cogs slipped to allow hom to conflate open or closed
with included or excluded?
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