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:
“Humour is the describing the ludicrous as it is in itself; wit is the exposing it, by comparing or contrasting it with something else. Humour is, as it were, the growth of nature and accident; wit is the product of art and fancy.”
—William Hazlitt (1778–1830)
Related Phrases
Related Words