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.
> - The empty interval does not overlap any other interval (two sets
> overlap if their intersection is non-empty)
that would imply that [9:00, 9:00) does not overlap [8:00, 10:00),
which also seems intuitively wrong.
> - No interval abuts the empty interval (a set abuts another set if the
> intersection of the two without the edge value is empty, and the
> intersection of the two with the edge value is non-empty)
>
which would imply that [9:00, 9:00) does not abut [9:00, 10:00). this
seems strange though not necessarily "wrong".
i still think that the "real" solution requires "completing" the
interval types.
al
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