The Game of Logic eBook

This eBook from the Gutenberg Project consists of approximately 66 pages of information about The Game of Logic.

The Game of Logic eBook

This eBook from the Gutenberg Project consists of approximately 66 pages of information about The Game of Logic.

2.  All x are not-y.

3.  Some x are y, and some are not-y.

4.  No x exist.

5.  Some x exist.

6.  No x are not-y.

7.  Some x are not-y, and some x exist.

__________

Taking x="judges”; y="just”;

8.  No judges are just.

9.  Some judges are unjust.

10.  All judges are just.

__________

Taking x="plums”; y="wholesome”;

11.  Some plums are wholesome.

12.  There are no wholesome plums.

13.  Plums are some of them wholesome, and some not.

14.  All plums are unwholesome.

[See pp. 59, 60]

-----
|     |
|     x
|     |
|--y--|
|     |
|     x’
|     |
-----
__________

Taking y="diligent students”; x="successful”;

15.  No diligent students are unsuccessful.

16.  All diligent students are successful.

17.  No students are diligent.

18.  There are some diligent, but unsuccessful, students.

19.  Some students are diligent.

[See pp. 60, 1]

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.

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The Game of Logic from Project Gutenberg. Public domain.