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)

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)

`Eric`