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Studies and Exercises in Formal Logic

Note 436 — Chapter VIII

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It will be observed that each of the above problems yields nine cases. Between them they cover all the 24 valid moods; but there are three moods (namely, EAO in figures 1 and 2 and AAI in figure 3) which occur twice over. The 15 unstrengthened and unweakened moods are equally distributed, namely, the four yielding I conclusions (together with OAO) falling under (i); the six yielding O conclusions (except OAO) under (ii); the five yielding A or E conclusions under (iii). All the moods of figure 1 (except those with an I premiss) fall under (iii); all the moods of figure 2 (except those with an E conclusion) under (ii); all the moods of figure 3 (except the one not having an A premiss) under (i).

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