Ramsey’s theorem states that a particular arrows relation,
holds for any integers and .
In words, if is a function on sets of integers of size whose range is finite then there is some infinite such that is constant on the subsets of of size .
As an example, consider the case where , and is defined by:
|Date of creation||2013-03-22 12:55:49|
|Last modified on||2013-03-22 12:55:49|
|Last modified by||mathcam (2727)|