The third schemata is nameless, but it should nonetheless be familiar. Its form is: Not p and q; p; therefore, not-q. We may phrase this as “not both” p and q. So, for example, 1) Not both x is good and x is evil. 2) x is good. 3) Therefore, not x is evil. In this schemata a negative conjunction is the premise along with one of its conjuncts (so p and q, and p respectively in this case). The necessary conclusion, then, is the contradiction of the remaining conjunct.
