Hi, > 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.
Intuitively maybe, but keep in mind, that [9:00,9:00) does not define any
point in time, because it contains all points in time which fullfill the
condition:
9:00<=t && t<9:00
There is no time t which can satisfy this condition, not even 9:00 itself, as
9:00 is never strictly less than 9:00.
Thus though your intuition makes you think this Interval has anything to do
with 9 o'clock it actually doesn't as it does not contain 9 o'clock. In fact
[9:00,9:00) is the very same as [11:00,11:00) or [12:00,12:00) or any other
empty Interval.
claudio
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