...
...
Mind you, I'm not arguing here, but I honestly wonder how many people
(average) would answer that 2.1 is *not* a "number".
...
You're getting too cute. Only integers may be even or odd. It's categorically
false that all numbers (unqualified) must be either odd or even. Just extend
this falsehood to complex numbers. Is 6+8i even? Which of 3+2i or 3+5i is odd?
If the average person hasn't a clue that numbers with nonzero fractional parts
are neither odd nor even, then should that average person be allowed within 100
meters of a computer running Excel?
What did light a bulb for me though Harlan, was the odd - even,
2.1
2.10
That "clicked" (pun intended) a little more deeper understanding.<g>
Then you'd love the mechanics of working with transfinite numbers, part of which
involves the proven contention that any real number with finite digit decimal
representation, e.g., 2, may be represented as an unending number with
fractional piece in which the lowest order digit in the finite representation is
reduced by one (with carry through the more subsequent digits as needed)
followed by an unending sequence of 9s. That is,
2 == 1.99999999999999999999999999999999999999...
So all numbers are odd! [A falacy. On the other hand, 'all mathematicians are
odd' is necessarily true.]