The Game of Logic | Page 4

have not CLEARLY understood all I have said, go no
further, but read it over and over again, till you DO understand it. After
that is once mastered, you will find all the rest quite easy.
It will save a little trouble, in doing the other Propositions, if we agree
to leave out the word "Cakes" altogether. I find it convenient to call the
whole class of Things, for which the cupboard is intended, the
'UNIVERSE.' Thus we might have begun this business by saying "Let
us take a Universe of Cakes." (Sounds nice, doesn't it?)
Of course any other Things would have done just as well as Cakes. We
might make Propositions about "a Universe of Lizards", or even "a
Universe of Hornets". (Wouldn't THAT be a charming Universe to live
in?)
So far, then, we have learned that
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means "some x and y," i.e. "some new are nice."
I think you will see without further explanation, that
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means "some x are y'," i.e. "some new are not-nice."
Now let us put a GREY counter into No. 5, and ask ourselves the
meaning of
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This tells us that the x y-compartment is EMPTY, which we may
express by "no x are y", or, "no new Cakes are nice". This is the second
of the three Propositions at the head of this Section.
In the same way,
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