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6. Mathematics / B. Foundations for Mathematics / 4. Definitions of Number / g. Von Neumann numbers

[Von Neumann's view of numbers as expanding sets]

4 ideas
Each Von Neumann ordinal number is the set of its predecessors [Neumann ,by Lavine]
For Von Neumann the successor of n is n U {n} (rather than {n}) [Maddy]
Von Neumann numbers are preferred, because they continue into the transfinite [Maddy]
Von Neumann numbers are helpful, but don't correctly describe numbers [Read]