The set of real numbers is uncountable. There are infinitely many members. The set of natural numbers is countable. There are infinitely many members. It woul

The set of real numbers is uncountable. There are infinitely many members. The set of natural numbers is countable. There are infinitely many members. It would be better to say that infinite sets are fundamentally unphysical, since there are no actual infinities. Talk about uncountable versus countable is tangential.