-------             -------
| 0 | 0 |           |   | 1 |
13.  |---|---|      14.  |---|---|
|   | 0 |           | 1 |   |
-------             -------

-------             -------
| 1 |   |           | 0 | 1 |
15.  |---|---|      16.  |---|---|
|   | 0 |           | 1 | 0 |
-------             -------

[See pp. 65, 6]

6.  Larger Diagram.

Propositions to be represented.

__________

-----------
|     |     |
|   --x--   |
|  |  |  |  |
|--y--m--y’-|
|  |  |  |  |
|   --x’-   |
|     |     |
-----------

__________

1.  No x are m.

2.  Some y are m’.

3.  All m are x’.

4.  No m’ are y’.

5.  No m are x; All y are m.

6.  Some x are m; No y are m.

7.  All m are x’; No m are y.

8.  No x’ are m; No y’ are m’.

[See pp. 67,8]

Taking “rabbits” as Universe; m="greedy”; x="old”; and y="black”; represent

9.  No old rabbits are greedy.

10.  Some not-greedy rabbits are black.

11.  All white rabbits are free from greediness.

12.  All greedy rabbits are young.

13.  No old rabbits are greedy; All black rabbits are greedy.

14.  All rabbits, that are not greedy, are black; No old rabbits are free from greediness.

__________

Taking “birds” as Universe; m="that sing loud”; x="well-fed”; and y="happy”; represent

15.  All well-fed birds sing loud; No birds, that sing loud, are unhappy.

16.  All birds, that do not sing loud, are unhappy; No well-fed birds fail to sing loud.

__________

Taking “persons” as Universe; m="in the house”; x="John”; and y="having a tooth-ache”; represent

17.  John is in the house; Everybody in the house is suffering from tooth-ache.

18.  There is no one in the house but John; Nobody, out of the house, has a tooth-ache.

__________

[See pp. 68-70]

Taking “persons” as Universe; m="I”; x="that has taken a walk”; y="that feels better”; represent

19.  I have been out for a walk; I feel much better.

__________

Choosing your own ‘Universe’ &c., represent

20.  I sent him to bring me a kitten; He brought me a kettle by mistake.

[See pp. 70, 1]

7.  Both Diagrams to be employed.

__________

-----------
|     |     |      -----------
|   --x--   |     |     |     |
|  |  |  |  |     |     x     |
|--y--m--y’-|     |--y--|--y’-|
|  |  |  |  |     |     x’    |
|   --x’-   |     |     |     |
|     |     |      -----------
-----------

__________

N.B.  In each Question, a small Diagram should be drawn, for x and y only, and marked in accordance with the given large Diagram:  and then as many Propositions as possible, for x and y, should be read off from this small Diagram.