  The purpose of this article is to connect the notion of the amenability of a
discrete group with a new form of structural Ramsey theory. The Ramsey
theoretic reformulation of amenability constitutes a considerable weakening of
the Folner criterion. As a by-product, it will be shown that in any non
amenable group G, there is a subset E of G such that no finitely additive
probability measure on G measures all translates of E equally.
