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The use of the term "ambiguity" is often confusing when employed by
different communities. What Mike is getting at I think is that,
fundamentally, unless one enumerates all the members of a set, or unless
the set is an abstract entity such as an equilateral triangle, there will
be ambiguity in the set definition. For any definition, there will always
be "boundary cases" which are not clearly in or out of the set.