Combining Texts

Ideas for 'Understanding and Essence', 'Later Letters to Dedekind' and 'Proof that every set can be well-ordered'

unexpand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

---

1 idea

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / e. Countable infinity

15897	Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine]
	Full Idea: Zermelo realised that the Axiom of Choice (based on arbitrary functions) could be used to 'count', in the Cantorian sense, those collections that had given Cantor so much trouble, which restored a certain unity to set theory.
	From: report of Ernst Zermelo (Proof that every set can be well-ordered [1904]) by Shaughan Lavine - Understanding the Infinite I