o son of mine fails to be treated with respect".
(2)
"All cats understand French;
Some chickens are cats".
Taking "creatures" as Univ., we write these as follows:--
"All cats are creatures understanding French;
Some chickens are cats".
We can now construct our Dictionary, viz. m = cats;
x = understanding French; y = chickens.
The proposed Premisses, translated into abstract form, are
"All m are x;
Some y are m".
In order to represent these on a Triliteral Diagram, we break up
the first into the two Propositions to which it is equivalent,
and thus get the _three_ Propositions
(1) "Some m are x;
(2) No m are x';
(3) Some y are m".
The Rule, given at p. 50, would make us take these in the order
2, 1, 3.
This, however, would produce the result
.-----------------.
| | |
| .----|----. |
| |(I)(I) | |
| |----|----| |
| |(O) | (O)| |
| .----|----. |
| | |
.-----------------.
pg062
So it would be better to take them in the order 2, 3, 1. Nos.
(2) and (3) give us the result here shown; and now we need not
trouble about No. (1), as the Proposition "Some m are x" is
_already_ represented on the Diagram.
.---------------.
| | |
| .---|---. |
| |(I)| | |
|---|---|---|---|
| |(O)|(O)| |
| .---|---. |
| | |
.---------------.
Transferring our information to a Biliteral Diagram, we get
.-------.
|(I)| |
|---|---|
| | |
.-------.
This result we can read either as "Some x are y" or "Some y are
x".
After consulting our Dictionary, we choose
"Some y are x",
which, translated into concrete form, is
"Some chickens understand French."
(3)
"All diligent students are successful;
All ignorant students are unsuccessful".
Let Univ. be "students"; m = successful; x = diligent;
y = ignorant.
These Premisses, in abstract form, are
"All x are m;
All y are m'".
These, broken up, give us the four Propositions
|