# Page:Carroll - Game of Logic.djvu/20

Now please to look at the smaller Diagram on the Board, and suppose it to be a cupboard, intended for all the Cakes in the world (it would have to be a good large one, of course). And let us suppose all the new ones to be put into the upper half (marked '${\displaystyle x}$'), and all the rest (that is, the not-new ones) into the lower half (marked '${\displaystyle x^{\prime }}$'). Thus the lower half would contain elderly Cakes, aged Cakes, ante-diluvian Cakes——if there are any: I haven't seen many, myself——and so on. Let us also suppose all the nice Cakes to be put into the left-hand half (marked '${\displaystyle y}$'), and all the rest (that is, the not-nice ones) into the right-hand half (marked '${\displaystyle y^{\prime }}$'). At present, then, we must understand ${\displaystyle x}$ to mean "new", ${\displaystyle x^{\prime }}$ "not-new", ${\displaystyle y}$ "nice", and ${\displaystyle y^{\prime }}$ "not-nice."