there are any, have the triple Attribute, 'xy'm', that is, "new,
not-nice, and wholesome." Again, take No. 16. Here we find, at
the corners, x', y', m': so the Cakes in it are "not-new, not-nice,
and unwholesome." (Remarkably untempting Cakes!)

It would take far too long to go through all the Propositions,
containing x and y, x and m, and y and m which can be represented
on this diagram (there are ninety-six altogether, so I am sure you
will excuse me!) and I must content myself with doing two or three,
as specimens. You will do well to work out a lot more for yourself.

Taking the upper half by itself, so that our Subject is "new Cakes",
how are we to represent "no new Cakes are wholesome"?

This is, writing letters for words, "no x are m." Now this tells us
that none of the Cakes, belonging to the upper half of the cupboard,
are to be found INSIDE the central Square: that is, the two
compartments, No. 11 and No. 12, are EMPTY. And this, of course,
is represented by


-------------------
| | |
| _____|_____ |
| | | | |
| | 0 | 0 | |
| | | | |
-------------------