trilemma
/ˈtraɪlɛmə/Definitions
1. noun
A situation involving three difficulties or alternatives, each of which is unpleasant or undesirable, and from which it is hard to choose.
“The politician faced a trilemma: raise taxes, cut essential services, or risk defaulting on government debt.”
2. noun
A proposition or statement that involves three conditions or alternatives, as in a philosophical or mathematical context.
“The mathematician proposed a trilemma to prove the existence of prime numbers.”