Well that's why I raised this topic. And here are my corresponding questions again:
1) Do you agree that Zermelo used a set T consisting of disjoint sets? 2) Do you agree that choosing a number from a set with more than 1 element means writing or speaking or at least thinking the name of the number? 3) Only finite names can be written, said or thought. 4) There are only countably many finite names that can be written, said or thought. 5) Zermelo's AC requires that uncountably many names can be written, said or thought. 6) In this respect it resembles the statement that a second prime number triple beyond (3, 5, 7) can be found, perhaps even infinitely many.