Note 437 — Chapter VIII

This section was suggested by the following question of Mr Johnson’s:—“Shew the validity of the following syllogisms: (i) All M’s are P’s, At least n S’s are M’s, therefore, At least n S’s are P’s; (ii) All P’s are M’s, Less than n S’s are M’s, therefore, Less than n S’s are P’s; (iii) Less than n M’s are P’s, At least n M’s are S’s, therefore, Some S’s are not P’s. Deduce from the above the ordinary non-numerical moods of the first three figures.”