A dilemma (Greek ??-????? "double proposition") is a problem offering two solutions or possibilities, of which neither is acceptable. The two options are often described as the horns of a dilemma, neither of which is comfortable.The dilemma is sometimes used as a rhetorical device, in the form "you must accept either A, or B"; here A and B would be propositions each leading to some further conclusion. Applied in this way, it may be a fallacy, a false dichotomy.In formal logic, the definition of a dilemma differs markedly from everyday usage. Two options are still present, but choosing between them is immaterial because they both imply the same conclusion. Symbolically expressed thus:A vee B, A Rightarrow C, B Rightarrow C vdash CWhich can be translated informally as "one (or both) of A or B is known to be true, but they both imply C, so regardless of the truth values of A and B we can conclude C."Horned dilemmas can present more than two choices. The number of choices of Horned dile
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