On Apr 12, 2008, at 17:37 , Moritz Lenz wrote:

[EMAIL PROTECTED] wrote:
Technically the Cartesian cross operator doesn't have an identity value.

It has.
The set which contains only the emty set, or in perl terms ([]);

If (a, b) denotes an ordered pair you get

   {0, 1} X {{}} = {(0, {}), (1, {})}

which, you see, is different from {0, 1}. They have different elements. The fact that there's a clear mapping that sort of identifies them has nothing to do with set equality.

-- fxn

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