Abstract: Bateson left an unresolved ambiguity in his explanation of the relationship of the mind to the world, the map to the territory. This ambiguity is related to his failure to develop a theory of intentionality, reference, “aboutness.” However, he left us all the tools necessary to resolve this ambiguity and to lay the groundwork for a theory of intentionality. In using these tools, a different emphasis is placed on the relationship between change and difference. A proposal is made for an understanding of the rudiments of abstraction. Finally, the ambiguity is addressed and the groundwork of a theory of intentionality proposed, through an understanding of the distinction between (a) the indirect access of creatural mental process to the pleromic world and (b) the direct access of our pleromic hands to the pleromic world. It is through the interplay and alternation of indirect perception/cognition of the world and direct action on the world in manually-operated experiments that Bateson’s problem of “maps, of maps, of maps, ad infinitum” is solved and a theory of mediate realism can be derived from his work, linking to an understanding of the roots of intentionality.