Full Idea
The (misnamed!) Axiom of Infinity expresses Cantor's fundamental assumption that the species of natural numbers is finite in size.
Gist of Idea
The misnamed Axiom of Infinity says the natural numbers are finite in size
Source
John Mayberry (What Required for Foundation for Maths? [1994], p.414-2)
Book Reference
'Philosophy of Mathematics: anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.414