Nullary Cartesian Product
Consider the general definition of the Cartesian product:
If I is empty, the only satisfying g is the empty function :
Thus, the cardinality of the Cartesian product of no sets is 1.
Under the perhaps more familiar n-tuple interpretation,
that is, the singleton set containing the empty tuple. Note that in both representations the empty product has cardinality 1.
Read more about this topic: Empty Product
Famous quotes containing the word product:
“The history is always the same the product is always different and the history interests more than the product. More, that is, more. Yes. But if the product was not different the history which is the same would not be more interesting.”
—Gertrude Stein (1874–1946)
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