Chapter 55
(3) Some monks are not illiterate.
(4) Happy is the man that findeth wisdom.
(5) No material substances are devoid of weight.
(6) Every mistake is not culpable.
(7) Some Irishmen are phlegmatic.
3. Granting the truth of the following propositions, what other propositions can be inferred by opposition to be true or false?
(1) Men of science are often mistaken.
(2) He can't be wrong, whose life is in the right.
(3) Sir Walter Scott was the author of Waverley.
(4) The soul that sinneth it shall die.
(5) All women are not vain.
4. Granting the falsity of the following propositions, what other propositions can be inferred by opposition to be true or false?--
(1) Some men are not mortal.
(2) Air has no weight.
(3) All actors are improper characters.
(4) None but dead languages are worth studying.
(5) Some elements are compound.
CHAPTER IV.
1. Give, as far as possible, the logical converse of each of the following propositions--
(1) Energy commands success.
(2) Mortals cannot be happy.
(3) There are mistakes which are criminal.
(4) All's well that ends well.
(5) Envious men are disliked.
(6) A term is a kind of word or collection of words.
(7) Some Frenchmen are not vivacious.
(8) All things in heaven and earth were hateful to him.
(9) The square of three is nine.
(10) All cannot receive this saying.
(11) P struck Q.
(12) Amas.
2. 'More things may be contained in my philosophy than exist in heaven or earth: but the converse proposition is by no means true.' Is the term converse here used in its logical meaning?
CHAPTER V.
Permute the following propositions--
(1) All just acts are expedient.
(2) No display of pa.s.sion is politic.
(3) Some clever people are not prudent.
(4) Some philosophers have been slaves.
The same exercise may be performed upon any of the propositions in the preceding lists.
CHAPTER VI.
1. Give the converse by negation of--
(1) All women are lovely.
(2) Some statesmen are not practical.
(3) All lawyers are honest.
(4) All doctors are skilful.
(5) Some men are not rational.
2. Give the contrapositive of--
(1) All solid substances are material.