Whoah! ha ha yes indeed - in a trigonometric sence a
point is the 0th dimension. And yes of course nothing
of any physical substance can pass from Jungolz to the
rest of Austria without any of it leaving Austria.
And I agree with you that Jungholz functions as an
enclave in this respect.
But also you can make a similar argument with the two
pieces of Germany (really one piece wrapping around
Jungholz). For Germany touches Germany at exactly one
point (which has no dimension). Thus nothing of any
physical substance can pass from Germany to Germany
(through the point) without any of it leaving Germany.
Which gives just as much of a German-German
disconnect (through the point) as an Austrian-Austrian
disconnect (through the point).
Of course the are both as connected (think 0th and 1st
dimensions) as they are disconnected for each
country-country set.
--- Anton Zeilinger <
anton_zeilinger@...>
wrote:
> --- In BoundaryPoint@yahoogroups.com, "Lowell G.
> McManus"
> <mcmanus71496@m...> wrote:
> > Mike D. wrote:
> >
> > > forgive me
> > > i am not trying to be cloudy
> > > & i see lowell thinks he may see & agree with
> this
> > > so i will at least stand by for clearance
> > > but this too makes no sense to me
> > >
> > > if you simply move across the quadripoint
> position
> > > wherever it is actually located
> > > you are in fact partly reaching one part of
> austria before fully
> > > leaving the other
> > > & it is impossible not to do so
> >
> > You had to know that this was coming:
> >
> > What if Jungholz were separated from the rest of
> Austria by one foot of
> > intervening German territory? You could still
> step from one to the
> other, and
> > you would also be partially entering one before
> fully leaving the
> other, just as
> > you say above. However, every atom of your being
> would pass through
> German
> > territory on the way. Guess what: That happens
> anyway when you
> step across the
> > Jungholz binational quadrapoint as it exists,
> because none of your
> atoms are
> > infinitely small--as is the point of intersection.
> That is why some
> of us
> > contend that the single point is of no practical
> consequence.
> >
> > Put another way, if Germany were to build a wall
> along its entire
> boundary with
> > Austria, that wall would touch corner-to-corner at
> the Jungholz cross,
> > separating the two parts of Austria as effectively
> as if there were
> a foot or a
> > mile of German territory between them.
> >
> > To me, that makes Jungholz an enclave, just as
> surely as any other.
> It just has
> > a peculiarity that most others don't.
> >
> > Lowell G. McManus
> > Leesville, Louisiana, USA
>
> I fully agree! The point connecting Jungholz with
> Austria is a
> trigonometrical reference point with absolutely no
> dimension at all.
> As Lowell points out, not even an atom, indeed, not
> even an electron
> or a quark can go from Austria to Jungholz without
> passing through
> Germany. Thus Jungholz fully functions as an
> enclave, as access to it
> is only posssible via a foreign state's sovereign
> territory.
>
> See also Brownlie, in African Boundaries, p. 1099,
> writing on a
> possible Botswana/Namibia/South Africa/Zimbabwe
> (don't know the
> correct abbreviations, BwNmSaZm?), where he states
> that "a
> trigonometrical reference point has no dimension"
> and thus no
> connection exists.
>
> Cheerio,
>
> Anton
>
>
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