7. |---|---|---|---| 8. |---|---|---|---| | | 0 | 1 | | | | 0 | 0 | | | ---|--- | | ---|--- | | | | | | 0 | --------------- ---------------

---------------
|       |       |
|    ---|---    |
|   | 0 | 0 |   |
9.   No x are m.  i.e.  |---|---|---|---|
|   | 0 |   |   |
|    ---|---    |
|       |       |
---------------

---------------
|       |       |
|    ---|---    |
|   |   |   |   |
10.   Some m’ are y.  i.e.  |-1-|---|---|---|
|   |   |   |   |
|    ---|---    |
|       |       |
---------------

---------------
|       |       |
|    ---|---    |
|   |   | 0 |   |
11.   All y’ are m’.  i.e.  |---|---|---|-1-|
|   |   | 0 |   |
|    ---|---    |
|       |       |
---------------

---------------
|       |       |
|    ---|---    |
|   | 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