pigeonhole principle

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pigeonhole principle

logic

Also known as: Dirichlet box principle, Dirichlet drawer principle(Show More)

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metalogic
Ultrafilters, ultraproducts, and ultrapowers
…in model theory include the pigeonhole principles, of which the basic principle is that, if a set of large cardinality is partitioned into a small number of classes, some one class will have large cardinality. Those elements of the set that lie in the same class cannot be distinguished by…
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…in model theory include the pigeonhole principles, of which the basic principle is that, if a set of large cardinality is partitioned into a small number of classes, some one class will have large cardinality. Those elements of the set that lie in the same class cannot be distinguished by…
Read More