The development of research connected with artificial intelligence and the cognitive sciences obliges us to confront further components of the traditional problem of form. In particular, the debate about bottom up and top down processes seems to suggest that the difference in cognitive processes is more a difference of degree than of kind internally to a form, such as a structure, consisting of different layers. Even if there is no single or fundamental theory of forms, in this volume the concept of form is analyzed in different fields (ranging from ontology to language, mathematics, and psychology) and in its different aspects according to a more modern theory of knowledge.