The fourth dimension

94 THE FOURTH DIMENSION

mood A; conclusion, mood A. This is the cube occupying the lowest left-hand corner of the large cube.

Proceeding in this way, we find that the regions which must be marked are those shown in fig. 53. To discuss the case shown in the marked cube which appears at the top of fig. 53. Here the major premiss is in the second wall to the right—it is in the mood £ and is of the type no Mis Pp, The minor premiss is in the mood characterised by the third wall from the front. It is of the type some s is M. From these premisses we draw the conclusion that some § is not P, a conclusion in the mood 0, Now the mood 0 of the conclusion is represented in the top layer. Hence we see that the marking is correct in this respect.

It would, of course, be possible to represent the cube on a plane by means of four squares, as in fig. 54, if we consider each square to represent merely the beginning of the region it stands for. Thus the whole cube can be represented by four vertical squares, each standing for a kind of vertical tray, and the markings would be as shown. In No. 1 the major premiss is in mood 4 for the whole of the region indicated by the vertical square of sixteen divisions; in No. 2 it is in the mood E£, and so on.

A creature confined to a plane would have to adopt some such disjunctive way of representing the whole cube. He would be obliged to represent that which we see as a whole in separate parts, and each part would merely -Spresent, would not be, that solid content which we see,

Fig. 54,