he 101 Examples given
at p. 101 of this book, is "Does it belong to Fig. I., II., or III.?"
pg184
As to _Sorites_, the only two forms, recognised by the text-books, are
the _Aristotelian_, whose Premisses are a series of Propositions in A,
so arranged that the Predicate of each is the Subject of the next, and
the _Goclenian_, whose Premisses are the very same series, written
backwards. Goclenius, it seems, was the first who noticed the startling
fact that it does not affect the force of a Syllogism to invert the
order of its Premisses, and who applied this discovery to a Sorites. If
we assume (as surely we may?) that he is the _same_ man as that
transcendent genius who first noticed that 4 times 5 is the same thing
as 5 times 4, we may apply to him what somebody (Edmund Yates, I think
it was) has said of Tupper, viz., "here is a man who, beyond all others
of his generation, has been favoured with Glimpses of the Obvious!"

These puerile----not to say infantine----forms of a Sorites I have, in
this book, ignored from the very first, and have not only admitted
freely Propositions in _E_, but have purposely stated the Premisses in
random order, leaving to the Reader the useful task of arranging them,
for himself, in an order which can be worked as a series of regular
Syllogisms. In doing this, he can begin with _any one_ of them he likes.

I have tabulated, for curiosity, the various orders in which the
Premisses of the Aristotelian Sorites

1. All a are b;
2. All b are c;
3. All c are d;
4. All d are e;
5. All e are h.
.'. All a are h.

may be syllogistically arranged, and I find there are no less than
_sixteen_ such orders, viz., 12345, 21345, 23145, 23415, 23451, 32145,
32415, 32451, 34215, 34251, 34521, 43215, 43251, 43521, 45321, 54321. Of
these the _first_ and the _last_ have been dignified with names; but the
other _fourteen_----first enumerated by an obscure Writer on Logic,
towards the end of the Nineteenth Century----remain without a name!

pg185
Sec. 10.

_Some account of Parts II, III._

In Part II. will be found some of the matters mentioned in this
Appendix, viz., the "Existential Import" of Propositions, the use of a
_negative_ Copula, and the theory that "two negative Premisses prove
nothing." I shall also extend the range of Syllogisms