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 § =4=, 25-30 (p. 100); § =5=, 25-30 (p. 102);
§ =6=, 13-15 (p. 106); § =7=, 13-15 (p. 108); § =8=, 1-4, 13,
14, 19, 24 (pp. 110, 111); § =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, and who thirsts, like Alexander the Great, for "more worlds to
conquer," may employ his spare energies on the following 17
Examination-Papers. He is recommended not to attempt more than _one_
Paper on any one day. The answers to the questions about words and
phrases may be found by referring to the Index at p. 197.
I. § =4=, 31 (p. 100); § =5=, 31-34 (p. 102); § =6=, 16, 17 (p.
106); § =7=, 16 (p. 108); § =8=, 5, 6 (p. 110); § =9=, 5, 22,
42 (pp. 112, 115, 119). What is 'Classification'? And what is
a 'Class'?
II. § =4=, 32 (p. 100); § =5=, 35-38 (pp. 102, 103); § =6=, 18
(p. 107); § =7=, 17, 18 (p. 108); § =8=, 7, 8 (p. 110);
§ =9=, 6, 23, 43 (pp. 112, 115, 119). What are 'Genus',
'Species', and 'Differentia'?
III. § =4=, 33 (p. 100); § =5=, 39-42 (p. 103); § =6=, 19, 20 (p.
107); § =7=, 19 (p. 109); § =8=, 9, 10 (p. 111); § =9=, 7,
24, 44 (pp. 113, 116, 120). What are 'Real' and 'Imaginary'
Classes?
IV. § =4=, 34 (p. 100); § =5=, 43-46 (p. 103); § =6=, 21 (p.
107); § =7=, 20, 21 (p. 109); § =8=, 11, 12 (p. 111); § =9=,
8, 25, 45 (pp. 113, 116, 120). What is 'Division'? When are
Classes said to be 'Codivisional'?
V. § =4=, 35 (p. 100); § =5=, 47-50 (p. 103); § =6=, 22, 23 (p.
107); § =7=, 22 (p. 109); § =8=, 15, 16 (p. 111); § =9=, 9,
28, 46 (pp. 113, 116, 120). What is 'Dichotomy'? What
arbitrary rule does it sometimes require?
pg095
VI. § =4=, 36 (p. 100); § =5=, 51-54 (p. 103); § =6=, 24 (p.
107); § =7=, 23, 24 (p. 109); § =8=, 17 (p. 111); § =9=, 10,
29, 47 (pp. 113, 117, 120). What is a 'Definition'?
Public-domain text, read in full here on John Shaqi.
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