I wrote:
I have to leave in a few minutes, and the Department is closed tomorrow
for a funeral, so I don't have time to reply at once in full to
Joachim Schimpf's <js10_at_crosscoreop.com> important contribution to this
thread.
But I DO have time to point you to
http://mathworld.wolfram.com/Maximum.html
Maximum
The largest value of a set, function, etc.
The maxiumum value of a set of elements $A = \{a_i\}_{i=1}^N$
is denoted $\max A$ or $\max_i a_i$,
==> and is equal to the last element of a sorted (i.e., ordered)
==> version of $a$.
The point I am making is that max(_,_) and min(_,_) are intimately and
essentially bound up with (<)/2 and its relatives, so that any data type
which cannot be sorted (as intervals cannot) doesn't *have* a maximum
or minimum.
I am about as far from denying the usefulness of meet and join as
you could possibly imagine. (The title of my PhD was "Logic and Lattices
for a Statistics Advisor", after all.) I just don't want them confused
with maximum and minimum.
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Received on Mon Jul 14 2008 - 13:01:03 EST
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