Any propositional formula can be reduced to its conjunctive or disjunctive normal form. Some common normal forms include conjunctive normal form and disjunctive normal form. One approach is to reject disjunction introduction but keep disjunctive syllogism and transitivity. The conjunction is the geometric mean and its dual as conjunctive and disjunctive operators. One allows disjunction introduction, and one allows disjunctive syllogism. No "subparts, or a compound, conjunctive, or disjunctive question" may be included in an interrogatory. The third Idea is based on the disjunctive syllogism. From the perspective of dialetheism, it makes perfect sense that disjunctive syllogism should fail. Constructive dilemma is the disjunctive version of "modus ponens". Softening can be both correlative and disjunctive. All logical formulas can be converted into an equivalent disjunctive normal form. Copulative, adversative and disjunctive notions are typically communicated by context or clause order. Interobjects, like disjunctive cognitions, are a commonplace bizarreness of dreamlife. Certain kinds of bizarre cognitions, such as disjunctive cognitions and interobjects, are common in dreams. One response is to appeal to the artificially disjunctive definition of grue.