Page:Carroll - Game of Logic.djvu/34

quite useless, as there is no mark in the other compartment. If the other compartment happened to be 'empty' too, the Square would be 'empty': and, if it happened to be 'occupied', the Square would be 'occupied'. So, as we do not know which is the case, we can say nothing about this Square.

The other Square, the $xy^{\prime }$-Square, we know (as in the previous example) to be 'occupied'.

If, then, we transfer our marks to the smaller Diagram, we get merely this:—

1

which means, you know, "some $x$ are $y^{\prime }$."

These principles may be applied to all the other oblongs. For instance, to represent "all $y^{\prime }$ are $m^{\prime }$" we should mark the right -hand upright oblong (the one that has the attribute $y^{\prime }$) thus:—

0	1
0

and, if we were told to interpret the lower half of the cupboard, marked as follows, with regard to $x$ and $y$,

		0
1			0