  We amalgamate two generalizations of Ramsey's Theorem--Ramsey classes and the
Erd\H{o}s-Rado Theorem--into the notion of a combinatorial Erd\H{o}s-Rado
class. These classes are closely related to Erd\H{o}s-Rado classes, which are
those from which we can build generalized indiscernibles and blueprints in
nonelementary classes, especially Abstract Elementary Classes. We give several
examples and some applications.
