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Notions
In mathematics, many notions are used to indicate that you can't calculate something.
Indeterminate
If every answer is possible you call it indeterminate, as with
Undefined
If there is no solution you call it undefined, as with
By definition
If you cannot explain something you can specify it by definition, as with
Branch cut
For a multi-valued function you can determine a principle value, as with
Unambiguous