Honestly, I don't really "like" real numbers, exactly because they are defined as classes of equivalence of converging sequences of neighborhoods. But I'm pret

Honestly, I don't really "like" real numbers, exactly because they are defined as classes of equivalence of converging sequences of neighborhoods. But I'm pretty sure even in rational numbers probability would be exactly zero, because that's how probability there is defined (as a limit of a sequence, and limit is zero).