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trilemma

noun tri·lem·ma \ trīˈlemə \

Definition of trilemma

plural -s
1 : an argument analogous to a dilemma but presenting three instead of two alternatives in the premises
2 : a state of things in which it is difficult to determine which one of three courses to pursue

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Origin and Etymology of trilemma

tri- + -lemma (as in dilemma)

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