The cardinality of the set of prime numbers and of rationals are <i>both</i> aleph-null[1]. Same with the list of all integers, the list of all positive integers, and the list of all even integers. They all have the <i>same</i> cardinality, and that cardinality is aleph-null.<p>But please, continue to argue with mathematical definitions that have been established for over a century.<p>[1]: <a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Aleph_number#Aleph-naught" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Aleph_number#Aleph-naught</a>