On 05/07/06, Al Major <[EMAIL PROTECTED]> wrote:
> Garvelink, Barend wrote:
> > Paraphrasing a colleague of mine:
> >
> > If the interval [09:00,09:00) can be considered the empty set in
> > discrete maths, then
> >  - Every interval contains the empty interval (a set contains another
> > set if it contains all the other set's elements)
>
>         but that would imply that [11:00, 12:00) (or any other non-empty
> interval) would contain [9:00, 9:00) (and _every_ other empty interval).
> intuitively that doesn't sound correct.

Thanks for the maths explanation. I think that it only helps however
in highlighting the dubiuos nature of our existing empty interval
concept. We've got it though, and can't very well remove it.

And it is certainly true that both of the following are _counter-intuitive_
- [11:00,12:00) not contain [11:30, 11:30)
- [11:00,12:00) contains [09:00, 09:00)


> i still think that the "real" solution requires "completing" the
> interval types.
I think thats a separate issue - you still end up with the same
problem, just multiplied.

Perhaps I'll just have to pick a definition!

Stephen

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