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Single Idea 18179

[from 'On the Introduction of Transfinite Numbers' by John von Neumann, in 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

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