Because evenness is a special case of k-evenness: A set is k-even if it can be divided into equal sets of size k. Which, for finite sets, is equivalent to the size of the set being 0 mod k, ie, is divisible by k. There are many ways to be not be divisible by any particular number bigger than two, and only one way to be divisible.
Uncountability is a particularly interesting form of non-divisibility, so I'm just fine calling all uncountable sets odd and countable sets even...
(And just because we're hung up on divisibility by two, let us remember: All prime numbers are odd, and two is the oddest of them all.)
Uncountability is a particularly interesting form of non-divisibility, so I'm just fine calling all uncountable sets odd and countable sets even...
(And just because we're hung up on divisibility by two, let us remember: All prime numbers are odd, and two is the oddest of them all.)