Note 360 — Chapter III
Reading edition
See Baldwin’s Dictionary of Philosophy, art. Symbolic Logic. It is shewn in this article that the whole of syllogistic reasoning may be summed up in the following antilogism, the symbolism of section 138 being made use of,—
[(AB = 0)(bC = 0)(AC > 0)] = 0.
The fifteen moods containing neither a strengthened premiss nor a weakened conclusion may, by the aid of conversions and obversions, be obtained from this antilogism according as the contradictory of one or other of the three incompatibles is taken as the conclusion.