Questions in Logic

N.B. The marks, assigned to this paper, are as follows:—

		II. …	5	IV. (2)	4	VI. (2)	6
		(1)	2	(3)	4	(3)	6
Quest.	Mark.	(2)	2	V. (2)	5	(4)	6
I. …	3	(3)	2	(3)	5	(5)	6
(1)	1	III. (1)	3	(4)	5	(6)	6
(2)	1	(2)	3	(5)	5	(7)	6
(3)	1	(3)	3	(6)	5	(8)	6

Thus the maximum attainable is 101.

Explain the words ‘Subject’ and ‘Predicate.’

Name the Subject, and the Predicate, of each of the following Propostions:—

(1) No wise man is headstrong and passionate.
(2) Happy is the man who is content.
(3) My brothers are all in France.

II.

Explain the words ‘Converse’ and ‘Contradictory.’

Name the Converse, and the Contradictory, of each of the following Propostions:—

(1) No wise man is headstrong and passionate.
(2) Some dogs do not bark.
(3) All beautiful pictures are valuable.

III.

State the Contradictory of each of the following double Propostions:—

(1) Some of his sons are soldiers and some are not.
(2) He is deceiving us, or is deceived.
(3) This book is neither instructive nor amusing.

IV.

Taking the first of the following examples as a model, mark the remaining diagrams.

(1) All m are $x^{'}$ .

(2) No $y^{'}$ are m.

(3) All $x^{'}$ are $m^{'}$ .

Taking the first of the following examples as a model, mark the given Premisses on the large diagram: then mark the smaller according to the information given by the larger: then state the conclusion, if any.

(1) All m are $x^{'}$ ; }
All $m^{'}$ are y.

hence
i. e. “No x are $y^{'}$ .”

(2) No x are m; }
No $m^{'}$ are y.

(3) No m are x; }
All m are y.

(4) Some x are m; }
All y are $m^{'}$ .

(5) All m are x; }
Some y are $m^{'}$ .

(6) All $x^{'}$ are m; }
All $y^{'}$ are $m^{'}$ .

VI.

Taking the first of the following examples as a model, find the conclusion, if any, of each of the following Pairs of Premisses.

(1) No birds have hoofs; }
All canaries are birds.

Let m = birds.
x = hoofed.
y = canaries.

No m are x;}
All y are m.

hence

∴ All y are $x^{'}$ .
i. e. All canaries are hoofless.

(2) This book is not interesting; }
An interesting book makes time go quickly.

(3) No pigs can dance; }
All Frenchmen can dance.

(4) All unhappy grocers frown; }
My grocer is happy.

(5) No dictionaries are interesting; }
Some novels are uninteresting.

(6) I am tired; }
Nobody likes dancing a hornpipe when he is tired.

(7) He called here yesterday; }
He is no friend of mine.

(8) John is proud; }
James is not proud.