DIAGRAM
1
R. Ishmael’s Rule No. 1,
concerning a-fortiori argument, can be represented by a triangular
star, at the center of which is the middle item (R) through which the three
other items, P, Q, and S are related to each other.
Diagram 1a
The a-fortiori
argument may also be represented, with reference to the comparative propositions
that underlie it, as ordering items P, Q, and S, according to their position in
a common continuum R:
Diagram
1b
This diagram is based on the following syllogisms:
Figure | Figure | Figure | Figure |
Rp | Rp | Rp | Rp |
Rq | Rp < Rs | Rs > Rp | Rs < Rq |
So, Rp > | So, Rq < | So, Rs > | So, Rs < |
Note that the four figures of a-fortiori should not be confused with the
four of syllogism they imply, which are, in the order shown: the fourth, third,
first and second figures.