# Page:Carroll - Game of Logic.djvu/21

of the left-hand half; so that they must be nice. Hence if there are any Cakes in this compartment, they must have the double 'Attribute' "new and nice": or, if we use letters, they must be "${\displaystyle xy}$."
Observe that the letters ${\displaystyle x}$, ${\displaystyle y}$ are written on two of the edges of this compartment. This you will find a very convenient rule for knowing what Attributes belong to the Things in any compartment. Take No. 7, for instance. If there are any Cakes there, they must be "${\displaystyle x^{\prime }y}$", that is, they must be "not-new and nice."
As the Subject of our Proposition is to be "new Cakes", we are only concerned, at present, with the upper half of the cupboard, where all the Cakes have the attribute ${\displaystyle x}$, that is, "new."