Also this Proposition is said to be a 'PARTICULAR' one, since it
does not speak of the WHOLE of its Subject, but only of a PART of
it. The other two kinds are said to be 'UNIVERSAL', because they
speak of the WHOLE of their Subjects--the one denying niceness, and
the other asserting it, of the WHOLE class of "new Cakes". Lastly,
if you would like to have a definition of the word 'PROPOSITION'
itself, you may take this:--"a sentence stating that some, or
none, or all, of the Things belonging to a certain class, called
its 'Subject', are also Things belonging to a certain other class,
called its 'Predicate'".

You will find these seven words--PROPOSITION, ATTRIBUTE, TERM,
SUBJECT, PREDICATE, PARTICULAR, UNIVERSAL--charmingly useful, if
any friend should happen to ask if you have ever studied Logic.
Mind you bring all seven words into your answer, and you friend
will go away deeply impressed--'a sadder and a wiser man'.

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 'x'), and all
the rest (that is, the NOT-new ones) into the lower half (marked
'x''). 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 'y'), and all the rest (that
is, the not-nice ones) into the right-hand half (marked 'y''). At
present, then, we must understand x to mean "new", x' "not-new",
y "nice", and y' "not-nice."