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]

The Game of Logic Page 14

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