Following the general program, outlined in a previous paper on the Foundations of Mathematical Biophysics, we shall outline some physico-mathematical aspects of the Gestalt-problem. Faithful to the principles laid down before, we shall not attempt to give a theory of such and such psycho-physiological phenomena connected with our problem, but we shall investigate in a preliminary way the abstract conceptual basis, which must underlie the construction of any concrete theory. To make our aim quite clear and to avoid at the same time unnecessary repetition, we refer the reader to our previous paper. Furthermore we shall give here only an outline of the physico-mathematical aspects; and of necessity we must leave a number of details untouched and unanswered.