Page:Carroll - Game of Logic.djvu/34

18 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:—

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 [sic]-hand upright oblong (the one that has the attribute $$y^\prime$$) thus:—

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