[layer8]

Since most reals are not either even and odd, I don’t know why you find the extended reals the more likely interpretation of “infinity” in the context of that question. In any case, the GGP objected to infinity being a number, but however you slice it, it is either an ordinal or cardinal number. And the GGGGP claimed that infinity is both even and odd, but however you slice it, it is at most one of those. I found it being either even or odd, as in the ordinals, more interesting, that’s why I gave that link.

[thaumasiotes]

> I don’t know why you find the extended reals the more likely interpretation of “infinity” in the context of that question.

Simple, that's the only sense of "infinity" that most people know.