3 4
k_{1}l'_{0} + dh'_{0} + a_{1}c_{0} + b_{1}e'_{0} +

5 6 7
k'h_{0} + b'l_{0} + d'_{1}c'_{0}

1 5 2 6 4 7 3
kl' + k'h + dh' + b'l + be' + d'c' + ac
-- = - -= - = = = - =

> e'a_{0} + a_{1}

_i.e._ > a_{1}e'_{0};

_i.e._ "All a are e."
pg093
The Reader should now take a second piece of paper, and copy the
Data only, and try to work out the solution for himself,
beginning with some other Premiss.

If he fails to bring out the Conclusion a_{1}e'_{0}, I would
advise him to take a third piece of paper, and _begin again_!]

I will now work out, in its briefest form, a Sorites of 5 Premisses, to
serve as a model for the Reader to imitate in working examples.

(1) "I greatly value everything that John gives me;
(2) Nothing but this bone will satisfy my dog;
(3) I take particular care of everything that I greatly
value;
(4) This bone was a present from John;
(5) The things, of which I take particular care, are
things I do _not_ give to my dog".

Univ. "things"; a = given by John to me; b = given by me to my dog;
c = greatly valued by me; d = satisfactory to my dog; e = taken
particular care of by me; h = this bone.

1 2 3 4 5
a_{1}c'_{0} + h'd_{0} + c_{1}e'_{0} + h_{1}a'_{0} + e_{1}b_{0}

1 3 4 2 5
ac' + ce' + ha' + h'd + eb > db_{0}
-- =- -= = =

i.e. "Nothing, that I give my dog, satisfies him," or, "My dog is not
satisfied with _anything_ that I give him!"

[Note that, in working a Sorites by this process, we may begin
with _any_ Premiss we choose. For instance, we might begin with
No. 5, and the result would then be

5 3 1 4 2
eb + ce' + ac' + ha' + h'd > bd_{0}]
- -= -= -= =

[Work Examples Sec. =4=, 25-30 (p. 100); Sec. =5=, 25-30 (p. 102);
Sec. =6=, 13-15 (p. 106); Sec. =7=, 13-15 (p. 108); Sec. =8=, 1-4, 13,
14, 19, 24 (pp. 110, 111); Sec. =9=, 1-4, 26, 27, 40, 48 (pp. 112,
116, 119, 121).]

pg094
The Reader, who has successfully grappled with all the Examples hitherto
set, an