### Single Idea 18178

#### [catalogued under 6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers]

Full Idea

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

Gist of Idea

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

Source

report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Penelope Maddy - Naturalism in Mathematics I.2 n8

Book Reference

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

A Reaction

I could ask some naive questions about the comparison of these two, but I am too shy about revealing my ignorance.