Dilemma facts for kids
A dilemma (Greek δίλημμα "double proposition") is a problem with at least two solutions or possibilities. None of the solutions are practically acceptable; a person in this position has been traditionally described as being impaled on the horns of a dilemma, neither horn being 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:
This 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 dilemmas can be used in their alternative names, such as twopronged (twohorned) or dilemma proper, or threepronged (threehorned) or trilemma, and so on.
Constructive dilemmas
 1. (If X, then Y) and (If W, then Z).
 2. X or W.
 3. Therefore, Y or Z.
Destructive dilemmas
 1. (If X, then Y) and (If W, then Z).
 2. Not Y or not Z.
 3. Therefore, not X or not W.
Named dilemmas
 Cornelian dilemma
 Euthyphro dilemma
 Hedgehog's dilemma
 Platonia dilemma
 Prisoner's dilemma
 Scylla and Charybdis
 Security dilemma
 Stagflation
 Traveler's dilemma
 Warnock's Dilemma
Related pages
 Coordination game
 Dilemma story
 False dilemma
 Trilemma
 Tetralemma
Images for kids

Cartoon showing William Ewart Gladstone in a dilemma  if he climbs to escape the guard dog he will face the man's wrath, and vice versa