Some things are not defined, like division by zero. This means that mathematicians cannot agree on an answer, so they just say "there is no answer."
2007-02-06 03:19:57
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answer #1
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answered by bequalming 5
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Quite simply, it means that the term in question does not have any meaning in the context in which it is being considered. The simlpest undefined expression rom a pedagogical standpoint would be something like avjhaofdi -- clearly, this word is gibberish, and thus has no meaning. Formally, we would say it is undefined. This is a trivial example, but it helps to clarify what we mean when we say something like "1/0 is undefined" -- this doesn't have anything to do with diverging to infinity or breaking the rules of mathematics, as many students incorrectly suppose, it just has to do with the fact that this expression doesn't refer to any mathematical object. Now we could ask _why_ it doesn't refer to anything, and then we would mention the fact that normally "a/b" refers to a number that, when multiplied by b, yields a, and that there is no number that when multiplied by zero yields 1 (and one cannot be created without resulting in inconsistency). But the underlying fact that it is undefined only means that this expression doesn't refer to anything.
2007-02-06 03:33:26
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answer #2
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answered by Pascal 7
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