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Tim Rentsch <tr.17687@z991.linuxsc.com> writes:...
Ben Bacarisse <ben@bsb.me.uk> writes:
I think it should be clearer. What the "that is" phrase seems to>
clarify in no way implies a total order, merely that the repeated
comparisons or the same elements are consistent with one another. That
the comparison function defines a total order on the elements is, to me,
a major extra constraint that should not be written as an apparent
clarification to something the does not imply it: repeated calls should
be consistent with one another and, in addition, a total order should be
imposed on the elements present.
I think you're misreading the first sentence.
Let's hope so. That's why I said it should be clearer, not that it was
wrong.
Suppose we are in
court listening to an ongoing murder trial. Witness one comes in
and testifies that Alice left the house before Bob. Witness two
comes in (after witness one has gone) and testifies that Bob left
the house before Cathy. Witness three comes in (after the first
two have gone) and testifies that Cathy left the house before
Alice. None of the witnesses have contradicted either of the
other witnesses, but the testimonies of the three witnesses are
not consistent with one another.
My (apparently incorrect) reading of the first sentence is that the
consistency is only required between the results of multiple calls
between each pair. In other words, if the witnesses are repeatedly
asked, again and again, if Alice left before Bob and/or if Bob left
before Alice the results would always be consistent (with, of course,
the same required of repeatedly asking about the other pairs of people).
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