What is a dilemma?
Q: What is a dilemma?
A: A dilemma is when two solutions or possibilities are present, and both outcomes are undesirable or impossible.
Q: How is a dilemma expressed in formal logic?
A: In formal logic, the definition of a dilemma differs from everyday usage. Two options are still present, but choosing between them is immaterial because they both imply the same conclusion. This can be symbolically expressed 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."
Q: Are there different types of dilemmas?
A: Yes, there are constructive and destructive dilemmas. Constructive dilemmas involve if-then statements that lead to two possible conclusions while destructive dilemmas involve two choices that each lead to an undesirable outcome.
Q: How many choices does a horned dilemma have?
A: Horned dilemmas can present more than two choices - the number of choices determines their alternative names such as two-pronged (two-horned) or three-pronged (three-horned).
Q: What does it mean to be on the horns of a dilemma?
A: To be on the horns of a dilemma means that neither outcome is comfortable - it's an unpleasant situation where you must choose between two undesirable options.
Q: What do constructive dilemmas involve?
A: Constructive dilemmas involve if-then statements that lead to two possible conclusions.
