Like I said, in mathematics, there MAY be an answer, depending what mathematical theory
you choose. Even within mathematics, there may be questions that don't have an answer, and
are ill-formed, and only seem well-formed because they seem to read ok in informal English.
Without your extra axiom, for example, the question "is infinity odd or even"
is not well-formed, because infinity is not a number, and only numbers (integers) can be odd
or even. (CAVEAT: IANAM)


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