b c d ______ ____ ______ ______/_ \/ \/ _\______ a / / \ /\ /\ / \ \ e / / \ / \ / \ / \ \ / \ \/ \/ \/ / \ / \ /\ /\ /\ / \ / \ / \ / \ / \ / \ | \/ \/ __ \/ \/ | | /\ /\/ \/\ /\ | | / \ / /\ /\ \ / \ | | | \/ | \/ | \/ | | | | /\ | /\ | /\ | | | \ / \ \/ \/ / \ / | \ \/ \/\__/\/ \/ / \ /\ /\ /\ /\ / \ / \ / \ / \ / \ / \ / \/ \/ \/ \ / \ \ /\ /\ /\ / / \ \ / \ / \ / \ / / \ \/ \/ \/ \/ / \ /\____/\____/\____/\ / \ / \ / \| |/ \____________________/ pg176 This Diagram gives us 31 closed compartments. For _six_ letters, Mr. Venn suggests that we might use _two_ Diagrams, like the above, one for the f-part, and the other for the not-f-part, of all the other combinations. "This", he says, "would give the desired 64 subdivisions." This, however, would only give 62 closed Compartments, and _one_ infinite area, which the two Classes, a'b'c'd'e'f and a'b'c'd'e'f', would have to share between them. Beyond _six_ letters Mr. Venn does not go. § 7. _My Method of Diagrams._ My Method of Diagrams _resembles_ Mr. Venn's, in having separate Compartments assigned to the various Classes, and in marking these Compartments as _occupied_ or as _empty_; but it _differs_ from his Method, in assigning a _closed_ area to the _Universe of Discourse_, so that the Class which, under Mr. Venn's liberal sway, has been ranging at will through Infinite Space, is suddenly dismayed to find itself "cabin'd, cribb'd, confined", in a limited Cell like any other Class! Also I use _rectilinear_, instead of _curvilinear_, Figures; and I mark an _occupied_ Cell with a 'I' (meaning that there is at least _one_ Thing in it), and an _empty_ Cell with a 'O' (meaning that there is _no_ Thing in it). For _two_ letters, I use this Diagram, in which the North Half is assigned to 'x', the South to 'not-x' (or 'x''), the West to y, and the East to y'. Thus the N.W. Cell contains the xy-Class, the N.E. Cell the xy'-Class, and so on. ·-------· | | | |---|---| | | | ·-------·