## von Neumann integer

(mathematics) A finite von Neumann ordinal.

The von Neumann integer N is a finite set with N elements which are the von Neumann integers 0 to N-1. Thus

0 = {} = {} 1 = {0} = {{}} 2 = {0, 1} = {{}, {{}}} 3 = {0, 1, 2} = {{}, {{}}, {{}, {{}}}} ...The set of von Neumann integers is infinite, even though each of its elements is finite.

[Origin of name?]

Last updated: 1995-03-30

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