# Page:Carroll - Game of Logic.djvu/34

18
[Ch. I.
NEW LAMPS FOR OLD.

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 ${\displaystyle xy^{\prime }}$-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 ${\displaystyle x}$ are ${\displaystyle y^{\prime }}$."

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

 0 1 0

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

 0 1 0