Applications of Ramsey's Theorem

Hey, Guys!

I wonder what applications of Ramsey's famous theorem there exist apart from such cases as:
1) constructions of functions in the domain of natural numbers to check some properties of sequences of real numbers.
2) propositions about points in convex postition (Erdos-Szekeres Problem)

I don't ask for detailed descriptions, although they are also welcome.
You can simply give a short sketch of applications in different fields of maths or give a link.

Thanks in advance! :smile:
 

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