---------------
| | |
| ---|--- |
| | 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.
-------