The Game of Logic

by Lewis Carroll

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