GNU Collaborative International Dictionary of English

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1.       
   Dilemma , n. [L. dilemma, Gr. ; δι- = δίσ- twice +  to take. See Lemma.]
   (Logic) An argument which presents an antagonist with two or more alternatives, but is equally conclusive against him, whichever alternative he chooses.
   1913 Webster
   ☞ The following are instances of the dilemma. A young rhetorician applied to an old sophist to be taught the art of pleading, and bargained for a certain reward to be paid when he should gain a cause. The master sued for his reward, and the scholar endeavored to elude his claim by a dilemma. “If I gain my cause, I shall withhold your pay, because the judge's award will be against you; if I lose it, I may withhold it, because I shall not yet have gained a cause.” “On the contrary,” says the master, “if you gain your cause, you must pay me, because you are to pay me when you gain a cause; if you lose it, you must pay me, because the judge will award it.”
   Johnson.
   
   1913 Webster
   A state of things in which evils or obstacles present themselves on every side, and it is difficult to determine what course to pursue; a vexatious alternative or predicament; a difficult choice or position.
   1913 Webster
   A strong dilemma in a desperate case!
   To act with infamy, or quit the place.
   Swift.
   
   1913 Webster
   Horns of a dilemma, alternatives, each of which is equally difficult of encountering.
   1913 Webster