1. Describe the 3 ways in which we get knowledge.
2. Which of the following Divisions are ‘Cross’, ‘Exhaustive’, ‘Incomplete’, ‘Dichotomy’.
(1) Dividing the girls in a certain School into ‘over 10’, ‘10’, ‘under 10’.
(2) Dividing them into ‘those whose names are one syllable’, ‘those whose names are two syllables’.
(3) Dividing them into ‘those who learn Arithmetic’, ‘those who learn History’.
(4) Dividing them into ‘not more than 5 feet high’, ‘not less than 5 feet high’.
(5) Dividing them into ‘those who are in this room’, ‘those who are not in this room’.
(6) Dividing them into ‘those who can sing and dance’, ‘those who can sing but cannot dance’, ‘those who can dance but cannot sing’, ‘those who can neither sing nor dance’.
3. State the following as Logical Propositions:—
(a) Over-eating injures the health.
(b) Some friends called here yesterday.
(c) Nobody likes to be contradicted.
4. Name the ‘Sign of Quantity’, and the ‘Predicate’ of (a), the ‘Copula’ of (b), and the ‘Subject’ of (c).
5. In the lower Diagram on the card, what Propositions are represented by , , , , ?
6. Represent (drawing a diagram for each):—
(a) Some things are neither x nor y.
(b) All not-x are y.
(c) No not-y exist.
(d) Mary is ill. (Univ. = ‘people’; x = “Mary”; y = “ill”.)
(e) There is nothing nice for dinner. (Univ. = “food”; x = “provided for dinner”; y = “nice”.)
(f) There is nothing for dinner!
7. Break up each of the Double Propositions, (d) and (f), into two single ones.
[Feb., 1894]