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An introductory text-book of logic - Mellone, Sydney - Rare Books at ...

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AND THE ARISTOTELIAN SYLLOGISM. 149<br />

(1) s, except when it is the last letter <strong>of</strong> the name, in<br />

dic<strong>at</strong>es th<strong>at</strong> the proposition denoted by the<br />

preceding vowel is to be converted simply (conversio<br />

Simplex}.<br />

(2) /, except when it is the last letter <strong>of</strong> the name, in<br />

dic<strong>at</strong>es th<strong>at</strong> the proposition denoted by the<br />

preceding vowel is to be converted Per accidens<br />

(in Particularsm propositionnt).<br />

(3) //i, indic<strong>at</strong>es th<strong>at</strong> the premises <strong>of</strong> the imperfect syl<br />

logism are to be transposed, the major becoming<br />

the minor, and vice versa (Met<strong>at</strong>hesis sive Mu-<br />

t<strong>at</strong>io prccmissarunt).<br />

By these means we shall have changed the premises<br />

<strong>of</strong> the imperfect syllogism into two equivalent but<br />

new premises, from which a valid conclusion may<br />

be drawn in fig.<br />

i. The initial letter B, C, D, or F,<br />

<strong>of</strong> the name <strong>of</strong><br />

mood in i.<br />

fig. in<br />

the imperfect syllogism, shows the<br />

which the new premises give a valid<br />

conclusion. If there is an s or / <strong>at</strong> the end <strong>of</strong> the<br />

name <strong>of</strong> the imperfect syllogism, it means th<strong>at</strong> the new<br />

syllogism in fig.<br />

i. does not give a conclusion identical<br />

with th<strong>at</strong> <strong>of</strong> the imperfect syllogism, but one from<br />

which the l<strong>at</strong>ter can be derived by conversion, simple<br />

or per accidens.<br />

(4) c, indic<strong>at</strong>es th<strong>at</strong> the mood must be reduced<br />

Example :<br />

by a distinct process called indirect reduction,<br />

to be explained shortly. The process was<br />

formerly called Conversio syllogismi,<br />

or ductio<br />

per Contradictoriam propositionem sive per im-<br />

possibile. Hence it is an error to substitute a<br />

k for this c, as Jevons and Fowler do.<br />

Reduce<br />

Camestres. This is in fig. ii. :<br />

All P is M,<br />

No S is M ;<br />

/.No S is P.

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