home German Paley dilemma di⋅lem⋅ma [di-lem-uh] –noun 1. a situation requiring a choice between equally undesirable alternatives. 2. any difficult or perplexing situation or problem. 3. Logic. a form of syllogism in which the major premise is formed of two or more hypothetical propositions and the minor premise is a disjunctive proposition, as “If A, then B; if C then D. Either A or C. Therefore, either B or D.” d a b c d e f g h i j k l m n o p q r s t u v w x y z difficult doo-dz diffuse dilemma dinosaur disarray dog distance divided doily dirt dismantle dining-room