To my mind the reduced set has ω2 elements which is less than ω. But yeah its part of a bigger pattern where I don’t think cardinality is a very exhaustive concept when it comes to infinite set sizes. But I don’t have that much knowledge to have a good alternative working conception around “ordinalities”.
To my mind the reduced set has ω2 elements which is less than ω. But yeah its part of a bigger pattern where I don’t think cardinality is a very exhaustive concept when it comes to infinite set sizes. But I don’t have that much knowledge to have a good alternative working conception around “ordinalities”.