### Single Idea 18179

#### [catalogued under 6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers]

Full Idea

For Von Neumann the successor of n is n U {n} (rather than Zermelo's successor, which is {n}).

Gist of Idea

For Von Neumann the successor of n is n U {n} (rather than {n})

Source

report of John von Neumann (On the Introduction of Transfinite Numbers [1923]) by Penelope Maddy - Naturalism in Mathematics I.2 n8

Book Reference

Maddy,Penelope: 'Naturalism in Mathematics' [OUP 2000], p.24