Re: Ideal lamps

[Eric Hawthorne]

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