Ideas from 'Proof that every set can be well-ordered' by Ernst Zermelo , by Theme Structure
[found in 'From Frege to Gödel 1879-1931' (ed/tr Heijenoort,Jean van) [Harvard 1967,0-674-32449-8]].
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6. Mathematics / A. Nature of Mathematics / 4. The Infinite / e. Countable infinity
Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed