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Ideas of John von Neumann, by Text

[Hungarian, 1903 - 1957, One of the fathers of the modern computer.]

1923 On the Introduction of Transfinite Numbers
p.122 Each Von Neumann ordinal number is the set of its predecessors
1925 An Axiomatization of Set Theory
p.209 All the axioms for mathematics presuppose set theory
1935 works
p.188 Von Neumann wanted mathematical functions to replace sets
p.280 Von Neumann defines each number as the set of all smaller numbers