3. Half of Smaller Diagram.

Symbols to be interpreted.

__________


                       -----------
                      |     |     |
                      |     x     |
                      |     |     |
                       --y-----y'-

__________


                  -------            -------
                 |   |   |          |   |   |
             1.  |   | 0 |      2.  | 0 | 0 |
                 |   |   |          |   |   |
                  -------            -------

                  -------            -------
                 |   |   |          |   |   |
             3.  |   -   |      4.  | 0 | 1 |
                 |   |   |          |   |   |
                  -------            -------

__________

Taking x="good riddles"; y="hard";


                  -------            -------
                 |   |   |          |   |   |
             5.  | 1 |   |      6.  | 1 | 0 |
                 |   |   |          |   |   |
                  -------            -------
                  -------            -------
                 |   |   |          |   |   |
             7.  | 0 | 0 |      8.  | 0 |   |
                 |   |   |          |   |   |
                  -------            -------

__________

[See pp. 61, 2]

Taking x="lobster"; y="selfish";

                  -------            -------
                 |   |   |          |   |   |
             9.  |   | 1 |     10.  | 0 |   |
                 |   |   |          |   |   |
                  -------            -------
                  -------            -------
                 |   |   |          |   |   |
            11.  | 0 | 1 |     12.  | 1 | 1 |
                 |   |   |          |   |   |
                  -------            -------

__________


                          -----
                         |     |
                         x     |
                         |     |
                         |--y'-|
                         |     |
                         x'    |
                         |     |
                          -----

Taking y="healthy people"; x="happy";

            ---          ---          ---          ---
           | 0 |        |   |        | 1 |        | 0 |
      13.  |---|   14.  |-1-|   15.  |---|   16.  |---|
           | 1 |        |   |        | 1 |        |   |
            ---          ---          ---          ---

[See p. 62]

4. Smaller Diagram.

Propositions to be represented.

                         -----------
                        |     |     |
                        |     x     |
                        |--y--|--y'-|
                        |     x'    |
                        |     |     |
                         -----------

__________

1. All y are x.

2. Some y are not-x.

3. No not-x are not-y.

4. Some x are not-y.

5. Some not-y are x.

6. No not-x are y.

7. Some not-x are not-y.

8. All not-x are not-y.

9. Some not-y exist.

10. No not-x exist.

11. Some y are x, and some are not-x.

12. All x are y, and all not-y are not-x.

[See pp. 62, 3]

Taking "nations" as Universe; x="civilised"; y="warlike";

13. No uncivilised nation is warlike.

14. All unwarlike nations are uncivilised.

15. Some nations are unwarlike.

16. All warlike nations are civilised, and all civilised nations are warlike.

17. No nation is uncivilised.

__________

Taking "crocodiles" as Universe; x="hungry"; and y="amiable";

18. All hungry crocodiles are unamiable.

19. No crocodiles are amiable when hungry.

20. Some crocodiles, when not hungry, are amiable; but some are not.

21. No crocodiles are amiable, and some are hungry.

22. All crocodiles, when not hungry, are amiable; and all unamiable crocodiles are hungry.

23. Some hungry crocodiles are amiable, and some that are not hungry are unamiable.

[See pp. 63, 4]

5. Smaller Diagram.

Symbols to be interpreted.

__________


                          -----------
                         |     |     |
                         |     x     |
                         |--y--|--y'-|
                         |     x'    |
                         |     |     |
                          -----------

__________


                  -------             -------
                 |   |   |           |   |   |
             1.  |---|---|       2.  |---|---|
                 | 1 |   |           |   | 0 |
                  -------             -------
                  -------             -------
                 |   | 1 |           |   |   |
             3.  |---|---|       4.  |---|---|
                 |   | 0 |           | 0 | 0 |
                  -------             -------

__________

Taking "houses" as Universe; x="built of brick"; and y="two-storied"; interpret

                  -------             -------
                 | 0 |   |           |   |   |
             5.  |---|---|       6.  |---|---|
                 | 0 |   |           |   -   |
                  -------             ---|---
                  -------             -------
                 |   | 0 |           |   |   |
             7.  |---|---|       8.  |---|---|
                 |   |   |           | 0 | 1 |
                  -------             -------

[See p. 65]

The Game of Logic Page 13

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