Taking "boys" as Universe; x="fat"; and y="active"; interpret
------- -------
| 1 | 1 | | | 0 |
9. |---|---| 10. |---|---|
| | | | | 1 |
------- -------
------- -------
| 0 | 1 | | 1 | |
11. |---|---| 12. |---|---|
| | 0 | | 0 | 1 |
------- -------
__________
Taking "cats" as Universe; x="green-eyed"; and y="good-tempered"; interpret
------- -------
| 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.
----------- -----------
|0 | | | | |
| --|-- | | --|-- |
| |0 | 0| | | |0 | 1| |
1. |--|--|--|--| 2. |--|--|--|--|
| |1 | | | | |0 | | |
| --|-- | | --|-- |
|0 | | | | |
----------- -----------
[See p. 72]
----------- -----------
| | | | | 0|
| --|-- | | --|-- |
| |0 | 0| | | | | | |
3. |--|--|--|--| 4. |--|--|--|--|
| |1 | 0| | | |0 | | |
| --|-- | | --|-- |
| | | | | 0|
----------- -----------
__________
Mark, in a large Diagram, the following pairs of Propositions from the preceding Section: then mark a small Diagram in accordance with it, &c.
5. No. 13. [see p. 49] 9. No. 17.
6. No. 14. 10. No. 18.
7. No. 15. 11. No. 19. [see p. 50]
8. No. 16. 12. No. 20.
__________
Mark, on a large Diagram, the following Pairs of Propositions: then mark a small Diagram, &c. These are, in fact, Pairs of PREMISSES for Syllogisms: and the results, read off from the small Diagram, are the CONCLUSIONS.
13. No exciting books suit feverish patients; Unexciting books make one drowsy.
14. Some, who deserve the fair, get their deserts; None but the brave deserve the fair.
15. No children are patient; No impatient person can sit still.
[See pp. 72-5]