*SYLLOGISMS.*

We have now to express the other Premiss, namely, "some new Cakes are unwholesome (Cakes)", i.e. "some -Cakes are -(Cakes)". This tells us that some of the Cakes in the -half of the cupboard are in its -compartments. Hence one of the two compartments, No. 9 and No. 10, is 'occupied': and, as we are not told in *which* of these two compartments to place the red counter, the usual rule would be to lay it on the division-line between them: but, in this case, the other Premiss has settled the matter for us, by declaring No. 9 to be empty. Hence the red counter has no choice, and *must* go into No. 10, thus:—

0 | 1 | ||

0 |

And now what counters will this information enable us to place in the *smaller* Diagram, so as to get some
Proposition involving and only, leaving out ? Let us take its four compartments, one by one.

First, No. 5. All we know about *this* is that its *outer* portion is empty: but we know nothing about its *inner* portion. Thus the Square *may* be empty, or it *may* have something in it. Who can tell? So we dare not place *any* counter in this Square.