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Vagueness:
Not being clearly distinguished or distinguishable. Many terms for
properties and things (adjectives, nouns) are vague in that there are some
cases for which it is just not clear whether the term applies or not. For
example: When ceases a man to be a child? After which amount of hairloss is
one bald? What amount of money makes a man rich?
Similarly, as with the ages of man, there are many pairs of terms, like
stupidity and intelligence, or young and old, or poor and rich, with vague
borders and intermediates.
There are a number of logical problems connected with vagueness, some of
which go back to Antiquity, and there are also
relations to the differential and integral calculus and the concepts of limits
and infinitesimals, and to topology.
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