(2) If they stay abroad, the wife will die; while the husband's
lungs will not stand the English climate. It is to be feared
therefore that one must fall a victim.
(3) He is either very good, very bad, or commonplace. But he is not
very good.
(4) Either a slave is capable of virtue or he is not.
.'. Either he ought not to be a slave or he is not a man.
(5) Does not his feebleness of character indicate either a bad
training or a natural imbecility?
(6) Those who ask shan't have; those who don't ask don't want.
(7) If a man be mad, he deviates from the common standard of
intellect.
.'. If all men be alike mad, no one is mad.
(8) 'I cannot dig; to beg I am ashamed.'
2. 'The infinite divisibility of space implies that of time. If the
latter therefore be impossible, the former must be equally so.'
Formulate this argument as an immediate inference.
3. Examine the following arguments--
(1) If we have a dusty spring, there is always a good wheat
harvest. We shall therefore have a poor harvest this year, for the
spring has not been dusty.
(2) Virtues are either feelings, capacities, or states; and as they
are neither feelings nor capacities, they must be states.
(3) Everything must be either just or unjust.
Justice is a thing, and is not unjust.
.'. Justice is just.
Similarly justice is holy.
But the virtues of knowledge, justice, courage, temperance, and
holiness were declared to be different from one another.
.'. Justice is unholy and holiness unjust.
CHAPTER XXIX.
Formulate the following trains of reasoning, resolve them into their
component parts, and point out any violations of the rules of
syllogism which they may contain--
(1) No Church Institutions are useful; for they teach religious
matters, not business matters, which latter are useful, being
profitable.
(2) Mr. Darwin long ago taught us that the clover crop is dependent
on the number of maiden ladies in the district. For the ladies keep
cats, and the cats destroy the field-mice, which prey on the bees,
which, in their turn, are all-important agents in the fertilisation
of the clover flowers.
(3) Athletic games are duties; for whatever is necessary to health
is a duty, and exercise is necessary to health, and these games are
exercise.
(4) The iron-trade leads to the improvement of a new country; for
furnaces require to be fed with fuel, which causes land to be
cleared.
(5) 'Is stone a body?' 'Yes.' 'Well, is not an animal a body?'
'Yes,' 'And are you an animal?' 'It seems so.' 'Then you are a
stone, being an animal.'
(6) If A is B, C is D.
If E is F, G is H.
But if A is B, E is F.
.'. If C is D, G is sometimes H.
(7) The soul is not matter.
My arm is not myself.
(8) Honesty deserves reward and a negro is a
fellow-creature. Therefore an honest negro is a fellow-creature
deserving of reward.
CHAPTER XXX.
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