Dilemma.

A dilemma (Greek: δί-λημμα “double proposition”) is a problem offering two possibilities, neither of which is practically acceptable. One in this position has been traditionally described as “being on the horns of a dilemma”, neither horn being comfortable. This is sometimes more colorfully described as “Finding oneself impaled upon the horns of a dilemma”, referring to the sharp points of a bull’s horns, equally uncomfortable (and dangerous).

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