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(i) PaM [Converted Obverse of (i)] — M e P (n) SoM [Contradictory of (iii)] SaP (iii) .-. SoP .: SeM (byObv.) .-. SaM But SaM contradicts SoM (the original minor), and is therefore false. Hence SaP, the contradictory of the original conclusion, is false; i.e., the original conclusion is true (but see Manual, p. 426, end of § 144). QUESTIONS. 345. What is Reduction? State concisely, and discuss, views that have been held as to the worth of the process. [l. — B.sc] 346. Explain fully, with illust...rations, the significance of the Mnemonic lines in regard to Reduction. 347. Some logicians have asserted that all. the moods of the syllogism are reducible to the form of Barbara. Inquire into the truth of this assertion. [l. — m.a.] 348. Construct an argument in Ferison, and reduce it to Fig. 1. [l.— B.A.] 349. Reduce Fesapo to the first figure, Celarent to the fourth figure, and Felapton to the second figure, [l. — b.a.] REDUCTION. 77 350. State the following argument in S syllogism of the third figure, and reduce it, both directly and indirectly, to the first : — Some things worthy of being known are not directly useful, for every truth is worthy of being known, while not every truth is directly useful.
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