All discontented men are unhappy. (1) All happy men are contented. (2) Some discontented men are unhappy. (3) Some contented men are happy. (4) Some unhappy men are not contented. (5) No discontented men are happy. (6) Some happy men are contented. (7) Some contented men are not unhappy. (8) Some unhappy men are discontented. (9) No happy men are discontented. (10) Some discontented men are not happy. (11) Some happy men are not discontented. (12) None but unhappy men are discontented. From how many of these propositions can the original one be derived? And why not from all? CHAPTER VII. What kind of inference have we here?-- (1) None but the ignorant despise knowledge. .'. No wise man despises knowledge. (2) A is superior to B. .'. B is inferior to A. CHAPTER VIII. Fill up the following enthymemes, mentioning to which order they belong, and state which of them are expressed in problematic form-- (1) I am fond of music: for I always like a comic song. (2) All men are born to suffering, and therefore you must expect your share. (3) Job must have committed some secret sins: for he fell into dreadful misfortunes. (4) Latin was the language of the Vestals, and therefore no lady need be ashamed of speaking it. (5) None but physicians came to the meeting. There were therefore no nurses there. (6) The human soul extends through the whole body, for it is found in every member. (7) No traitor can be trusted, and you are a traitor. (8) Whatever has no parts does not perish by the dissolution of its parts. Therefore the soul of man is imperishable. Is the suppressed premiss in any case disputable on material grounds? CHAPTERS IX-XVIII. Refer the following arguments to their proper mood and figure, or show what rules of syllogism they violate. (1) No miser is a true friend, for he does not assist his friend with his purse. (2) Governments are good which promote prosperity. The government of Burmah does not promote prosperity. .'. It is not a good government. (3) Land is not property. Land produces barley. .'. Beer is intoxicating. (4) Nothing is property but that which is the product of man's hand. The horse is not the product of man's hand. .'. The horse is not property. (5) Some Europeans at least are not Aryans, because the Finns are not. (6) Saturn is visible from the earth, and the moon is visible from the earth. Therefore the moon is visible from Saturn. (7) Some men of self-command are poor, and therefore some noble characters are poor. (8) Sparing the rod spoils the child: so John will turn out very good, for his mother beats him every day. (9) Some effects of labour are not painful, since every virtue is an effect of labour. (10) The courageous are confident and the experienced are confident. Therefore the experienced are courageous.