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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)