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In a dilemma, as the word is popularly understood, every possible course of action has undesirable
consequences. We are screwed no matter what we do. Of course, not all
dilemmas are false. In some cases there really are no good options. However,
such an argument is fallacious when it can be defeated in one of two ways: Going
between the horns - showing that the alternative courses of action are not
exhaustive, and that some unstated alternative does not have undesirable consequences. In
the above example, we can "go between the horns" by pointing out that we could keep military
aid at the present level, or cut off military aid but increase economic aid.
Seizing one of the horns - showing that the supposedly undesirable
consequences of one of the alternatives either does not follow at all, or is not really
undesirable. In the above example, we might seize the first horn and claim that
international communism is not such a serious threat as the argument would have us
suppose; or we might seize the second horn and claim that the government of El Salvador
has mended its ways.
A dilemma is made up of two hypothetical statements, and a choice between
their antecedents. We can represent the form of the dilemma as follows:
If A, then B.
If C, then D.
Either A or C.
So, either B or D.
Let us assume (for the sake of simplicity) that one of the two
hypothetical statements is in fact true, and therefore not the source of the
fallacy. Let us also, for the sake of analysis, express the 'either...or...'
statement as a hypothetical: If not-A, then C (and if not-C, then A). We
also perform a transposition on the hypothetical statement that is still
dubious. The dilemma can then be expressed as two hypothetical syllogisms:
Major premiss:
If not-A, then C.
Minor premiss:
If not-B, then not-A.
Conclusion:
If not-B, then C.
True hypothetical: If C, then D.
Final conclusion: If
not-B, then D (i.e. either B or D).
When the error is in the Major premiss, then the argument is defeated by
"going between the horns." In that case, the argument is a deductive
irrelevancy, obviously in the family of Middle Ground fallacies, similar to
Black & White Thinking. On the other hand, when the error is in the Minor
premiss, then the argument is defeated by "seizing one of the horns." In
that case, the argument is a deductive misrepresentation, similar to
Misrepresenting the Facts and Straw Man.
By the way, it doesn't matter which horn we seize, i.e. which
hypothetical statement we hold as true and which we continue to question.
The analysis is the same in either case. Curiously, while the term "dilemma"
comes from the idea that the argument has two major premisses, the
hypothetical statements actually function as minor premisses, at
least as I analyze the form.
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