trilemma

n. [ NL., fr. Gr. &unr_; (see Tri-) + &unr_; any thing received, in logic, an assumption. Cf. Dilemma. ] 1. (Logic) A syllogism with three conditional propositions, the major premises of which are disjunctively affirmed in the minor. See Dilemma. [ 1913 Webster ]

2. A state of things in which it is difficult to determine which one of three courses to pursue. [ 1913 Webster ]