All schools are educational institutions. No schools are bars. Some bars are not educational institutions. As we suggested in the last example, we begin by representing the premises just as we would if we were adopting the modern view of syllogisms. Doing this, we get. . . .
All schools are educational institutions.
No schools are bars. Some bars are not educational institutions. Now, however, we need to add the additional assumptions that the classical view makes about the premises. Since the first premise commits us to the existence of at least one school that is an educational institution, we need to represent this by placing a capital X in the unshaded area where schools and educational institutions overlap. All schools are educational institutions.