von neumann integer

Computing Dictionary

von Neumann integer definition

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?]
(1995-03-30)
The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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