if you look at the interval [9:00, 9:00) as the limit of [9:00, 9:00 +
epsilon) as epsilon goes to zero, you have a situation where each of the
intervals on the way to the limit (i.e. epsilon > 0) overlaps [9:00,
10:00) and is _not_ contained in [10:00, 11:00). i'm arguing that the
limit [9, 9) should be interpreted in a way that is consistent with the
behavior of the sequence that defines it [9, 9 + e). this is what i mean
by _intuitive_ behavior. i.e. [9:00, 9:00) overlaps [9:00, 10:00) and is
not contained in [10:00, 11:00).
I don't see how [9:00, 9:00) can be legal, provided that for a given interval x to y, y >= x. Since "[9:00" is exactly 9:00, and "9:00)" is a some value less than 9:00, we now have y < x. This implies that intervals such as [9:00, 8:00] should be legal, which is just as nonsensical.
Nils
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