Dilemma

* 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 (?)lude 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.

A strong dilemma in a desperate case!
To act with infamy, or quit the place. Swift.

Horns of a dilemma, alternatives, each of which is equally difficult of encountering.