Definitions from Wiktionary (pigeonhole principle)
▸ noun: (mathematics) The theorem which states that any partition of a finite set of n elements into m (< n) subsets (allowing empty subsets) must include a subset with two or more elements; any of certain reformulations concerning the partition of infinite sets where the cardinality of the unpartitioned set exceeds that of the partition (so there is no one-to-one correspondence).
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▸ noun: (mathematics) The theorem which states that any partition of a finite set of n elements into m (< n) subsets (allowing empty subsets) must include a subset with two or more elements; any of certain reformulations concerning the partition of infinite sets where the cardinality of the unpartitioned set exceeds that of the partition (so there is no one-to-one correspondence).
Similar:
pigeonhole,
Dirichlet's box principle,
Dirichlet's drawer principle,
partition,
ham sandwich theorem,
parity,
pseudointersection,
pancake theorem,
Hindman's theorem,
partition function,
more...
Opposite:
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