Dilemma (di-lem’-ma): Offering to an opponent a choice between two (equally unfavorable) alternatives.
You have told us you are a kind man. Yet you’ve repeatedly beaten your children.
You have told us you are generous man. Yet you wear silk, gold rings, and silver buckles while your family sits here in rags, shoeless.
Clearly, you are a liar and miscreant. Now, tell us which of your misdeeds is worse: beating your children or depriving your family?
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Definition courtesy of “Silva Rhetoricae” (rhetoric.byu.edu)