(11) No tale-bearer is to be trusted, and therefore no great talker is to be trusted, for all tale-bearers are great talkers. (12) Socrates was wise, and wise men alone are happy: therefore Socrates was happy. II. 1. From the major 'No matter thinks' draw, by supplying the minor, the following conclusions-- (1) Some part of man does not think. (2) The soul of man is not matter. (3) Some part of man is not matter. (4) Some substance does not think. Name the figured mood into which each syllogism falls. 2. Construct syllogisms in the following moods and figures, stating whether they are valid or invalid, and giving your reasons in each case-- AEE in the first figure; EAO in the second; IAI in the third; AII in the fourth. 3. Prove that 'Brass is not a metal,' using as your middle term 'compound body.' 4. Construct syllogisms to prove or disprove-- (1) Some taxes are necessary. (2) No men are free. (3) Laws are salutary. 5. Prove by a syllogism in Bokardo that 'Some Socialists are not unselfish,' and reduce your syllogism directly and indirectly. 6. Prove the following propositions in the second figure, and reduce the syllogisms you use to the first-- (1) All negroes are not averse to education. (2) Only murderers should be hanged. 7. Prove in Baroko and also in Ferio that 'Some Irishmen are not Celts.' 8. Construct in words the same syllogism in all the four figures. 9. Invent instances to show that false premisses may give true conclusions. III. 1. What moods are peculiar to the first, second, and third figures respectively? 2. What moods are common to all the figures? 3. Why can there be no subaltern moods in the third figure? 4. What is the only kind of conclusion that can be drawn in all the figures? 5. Show that IEO violates the special rules of all the figures. 6. In what figures is AEE valid? 7. Show that AEO is superfluous in any figure. 8. Prove that O cannot be a premiss in the first figure, nor a minor premiss anywhere but in the second. 9. Show that in the first figure the conclusion must have the quality of the major premiss and the quantity of the minor. 10. Why do the premisses EA yield a universal conclusion in the first two figures and only a particular one in the last two? 11. Show that AAI is the only mood in the fourth figure in which it is possible for the major term to be distributed in the premiss and undistributed in the conclusion. 12. Why are the premisses of Fesapo and Fresison not transposed in reduction like those of the other moods of the fourth figure? IV. 1. Why is it sufficient to distribute the middle term once only? 2. Prove that from two affirmative premisses you cannot get a negative conclusion. 3. Prove that there must be at least one more term distributed in the premisses than in the conclusion. 4. Prove that the number of distributed terms in the premisses cannot exceed those in the conclusion by more than two.