dilemma
nounIn logic, an argument equally conclusive by contrary suppositions. A young rhetorician said to an old sophist; Instruct me in pleading, and I will pay you, when I gain a cause. The master sued for the reward, and the scholar endeavored to elude the claim by a dilemma. If I gain my cause, I shall withhold your pay, because the award of the judge will be against you. It I lose it, I may withhold it, because I shall not yet have gained a cause. The master replied: 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 you are to pay me, when you gain a cause; if you lose it, you must pay me, because the judge will award it.