Ideas from 'On the Introduction of Transfinite Numbers' by John von Neumann [1923], by Theme Structure
[found in 'From Frege to Gödel 18791931' (ed/tr Heijenoort,Jean van) [Harvard 1967,0674324498]].
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13489

Von Neumann treated cardinals as a special sort of ordinal [Hart,WD]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
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A von Neumann ordinal is a transitive set with transitive elements [Badiou]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
18180

Von Neumann numbers are preferred, because they continue into the transfinite [Maddy]

18179

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

15925

Each Von Neumann ordinal number is the set of its predecessors [Lavine]
