The Probert Encyclopaedia of General Information

DILEMMA

In logic, a dilemma (named from the Greek dis, twice, and lemma, an assumption), is a form of argument used to prove the falsehood or absurdity of some assertion, as in the following instance:
If he did go he must be either foolish or wicked; but we know he is neither foolish nor wicked; therefore he cannot have done so. The two suppositions, which are equally untenable, are called the 'horns' of the dilemma.
Research Dilemma