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A trilemma is a difficult choice from three options, each of which is (or appears) unacceptable or unfavourable. There are two logically equivalent ways in which to express a trilemma: it can be expressed as a choice among three unfavourable options, one of which must be chosen, or as a choice among three favourable options, only two of which are possible at the same time.
Either situation may or may not prove to be satisfying and lasting. In history, three leaders have sometimes attempted to share political power in a triumvirate, with little long-term success. On the other hand, groups of three can be very stable if there is a leader and two followers, such as a family of a single parent and two children.
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x P y: not y R x (y R x includes one of two options. Negating that option leaves only x P y, the third of the original three options, on the ballot.) From this, conjunction ('and') and negation ('not') of mere pairwise R relations can (also) represent all the properties of an ordering for all the objects of choice. Hence, the following shorthand.
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