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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?]

(1995-03-30)

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