---------------
                           |       |       |
                           |    ---|---    |
                           |   | 0 | 0 |   |
 12.  All m are x'.  i.e.  |---|---|---|---|
                           |   |   1   |   |
                           |    ---|---    |
                           |       |       |
                            ---------------
                               ---------------
                              | 0     |       |
                              |    ---|---    |
                              |   | 0 | 0 |   |
 13.  No x are m;       i.e.  |---|---|---|---|
      All y are m.            |   | 1 |   |   |
                              |    ---|---    |
                              | 0     |       |
                               ---------------
                                ---------------
                               | 0     |     0 |
                               |    ---|---    |
                               |   |   |   |   |
 14.  All m' are y;      i.e.  |---|---|---|---|
      No x are m'.             |   |   |   |   |
                               |    ---|---    |
                               | 1     |     0 |
                                ---------------

                               ---------------
                              | 0     |     0 |
                              |    ---|---    |
                              |   | 1 | 0 |   |
 15.  All x are m;      i.e.  |---|---|---|---|
      No m are y'.            |   |   | 0 |   |
                              |    ---|---    |
                              |       |       |
                               ---------------
                                 ---------------
                                | 0     |     0 |
                                |    ---|---    |
                                |   |   |   |   |
 16.  All m' are y';      i.e.  |---|---|---|---|
      No x are m'.              |   |   |   |   |
                                |    ---|---    |
                                | 0     |     1 |
                                 ---------------
                                ---------------
                               | 0     |     0 |
                               |    ---|---    |
                               |   | 1 | 0 |   |
 17.  All x are m;       i.e.  |---|---|---|---|
      All m are y.             |   |   | 0 |   |
                               |    ---|---    |
[See remarks on No. 7, p. 60.] |       |       |
                                ---------------
                               ---------------
                              | 0     |       |
                              |    ---|---    |
                              |   |   |   |   |
 18.  No x' are m;      i.e.  |---|---|---|---|
      No m' are y.            |   | 0 | 0 |   |
                              |    ---|---    |
                              | 0     |       |
                               ---------------
                               ---------------
                              |       |       |
                              |    ---|---    |
                              |   | 1 | 0 |   |
 19.  All m are x;      i.e.  |---|---|---|---|
      All m are y.            |   | 0 | 0 |   |
                              |    ---|---    |
                              |       |       |
                               ---------------

20. We had better take "persons" as Universe. We may choose "myself" as 'Middle Term', in which case the Premisses will take the form

I am a-person-who-sent-him-to-bring-a-kitten; I am a-person-to-whom-he-brought-a-kettle-by-mistake.

Or we may choose "he" as 'Middle Term', in which case the Premisses will take the form

He is a-person-whom-I-sent-to-bring-me-a-kitten; He is a-person-who-brought-me-a-kettle-by-mistake.

The latter form seems best, as the interest of the anecdote clearly depends on HIS stupidity--not on what happened to ME. Let us then make m = "he"; x = "persons whom I sent, &c."; and y = "persons who brought, &c."

Hence, All m are x; All m are y. and the required Diagram is


                      ---------------
                     |       |       |
                     |    ---|---    |
                     |   | 1 | 0 |   |
                     |---|---|---|---|
                     |   | 0 | 0 |   |
                     |    ---|---    |
                     |       |       |
                      ---------------

7. Both Diagrams employed.

       -------
      | 0 |   |
  1.  |---|---|  i.e.  All y are x'.
      | 1 |   |
       -------
       -------
      |   | 1 |
  2.  |---|---|  i.e.  Some x are y'; or, Some y' are x.
      |   |   |
       -------
       -------
      |   |   |
  3.  |---|---|  i.e.  Some y are x'; or, Some x' are y.
      | 1 |   |
       -------
       -------
      |   |   |
  4.  |---|---|  i.e.  No x' are y'; or, No y' are x'.
      |   | 0 |
       -------
       -------
      | 0 |   |
  5.  |---|---|  i.e.  All y are x'.  i.e.  All black rabbits
      | 1 |   |        are young.
       -------
       -------
      |   |   |
  6.  |---|---|  i.e.  Some y are x'.  i.e. Some black
      | 1 |   |        rabbits are young.
       -------

The Game of Logic Page 19

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