
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 ...
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http://en.wikipedia.org/wiki/Trilemma

quandary having three choices
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http://phrontistery.info/t.html

• (n.) A syllogism with three conditional propositions, the major premises of which are disjunctively affirmed in the minor. See Dilemma. • (n.) A state of things in which it is difficult to determine which one of three courses to pursue.
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http://thinkexist.com/dictionary/meaning/trilemma/

trilemma 1. A situation, or (in Logic) a syllogism, of the nature of a dilemma, but involving three alternatives instead of two. 2. A situation offering three undesirable options.
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http://www.wordinfo.info/words/index/info/view_unit/1163/

See Proof by cases.
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https://www.encyclo.co.uk/local/21203
No exact match found.