Dilemma

 ( Arguments ) 

A dilemma () is a problem solving offering two possibilities, neither of which is unambiguously acceptable or preferable. The possibilities are termed the horns of the dilemma, a clichéd usage, but distinguishing the dilemma from other kinds of predicament as a matter of usage.

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Terminology The term dilemma is attributed by Gabriel Nuchelmans to Lorenzo Valla in the 15th century, in later versions of his logic text traditionally called Dialectica. Valla claimed that it was the appropriate Latin equivalent of the Greeks dilemmaton. Nuchelmans argued that his probable source was a logic text of of George of Trebizond.

(1991). 9780444857309, North-Holland. ISBN 9780444857309

He also concluded that Valla had reintroduced to the Latin West a type of argument that had fallen into disuse.

(1991). 9780444857309, North-Holland. ISBN 9780444857309

Valla's neologism did not immediately take hold, preference being given to the established Latin term complexio, used by Cicero, with conversio applied to the upsetting of dilemmatic reasoning. With the support of Juan Luis Vives, however, dilemma was widely applied by the end of the 16th century.

A dilemma is often phrased as "you must accept either A, or B", where A and B are propositions each leading to some further conclusion. In the case where this is true, it can be called a "dichotomy", but when it is not true, the dilemma constitutes a false dichotomy, which is a logical fallacy. Traditional usage distinguished the dilemma as a "horned syllogism" from the sophism that attracted the Latin name cornutus. The original use of the word horns in English has been attributed to Nicholas Udall in his 1548 book Paraphrases, translating from the Latin term cornuta interrogatio.

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Dilemmatic arguments The dilemma is sometimes used as a rhetorical device. Its isolation as textbook material has been attributed to Hermogenes of Tarsus in his work On Invention.Lucia Calboli Montefusco, Rhetorical use of dilemmatic arguments, Rhetorica: A Journal of the History of Rhetoric Vol. 28, No. 4 (Autumn 2010), pp. 363–383, at p. 364. Published by: University of California Press on behalf of the International Society for the History of Rhetoric. DOI: 10.1525/rh.2010.28.4.363 C. S. Peirce gave a definition of dilemmatic argument as any argument relying on excluded middle.

(2025). 9783662540695, Springer. . ISBN 9783662540695

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In logic In propositional logic, dilemma is applied to a group of rules of inference, which are in themselves valid rather than fallacious. They each have three premises, and include the constructive dilemma and destructive dilemma.

(1996). 9780691029061, Princeton University Press. . ISBN 9780691029061

Such arguments can be refuted by showing that the disjunctive premise – the "horns of the dilemma" – does not in fact hold, because it presents a false dichotomy. You are asked to accept "A or B", but counter by showing that is not all. Successfully undermining that premise is called "escaping through the horns of the dilemma".

(2025). 9780495603405, Cengage Learning. . ISBN 9780495603405

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In philosophy Dilemmatic reasoning has been attributed to Melissus of Samos, a Presocratic philosopher whose works survive in fragmentary form, making the origins of the technique in philosophy imponderable.

(2025). 9781108416337, Cambridge University Press. . ISBN 9781108416337

It was established with Diodorus Cronus (died ). The paradoxes of Zeno of Elea were reported by Aristotle in dilemma form, but that may have been to conform with what Plato said about Zeno's style.

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Moral dilemmas along with ethical dilemmas In cases where two appear to be inconsistent, an actor confronts a dilemma in terms of which principle to follow. This kind of moral case study is attributed to Cicero, in book III of his De Officiis.

(1988). 9780520060630, University of California Press. . ISBN 9780520060630

In the Christian tradition of casuistry, an approach to abstract ranking of principles introduced by Bartolomé de Medina in the 16th century became tainted with the accusation of laxism, as did casuistry itself.

(2025). 9780691114613, Princeton University Press. . ISBN 9780691114613

Another approach, with legal roots, is to lay emphasis on particular features present in a given case: in other words, the exact framing of the dilemma.

(1988). 9780520060630, University of California Press. . ISBN 9780520060630

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In law In law, Valentin Jeutner has argued that the term "legal dilemma" could be used as a , to describe a situation where a legal subject is confronted with two or more legal norms that the legal subject cannot simultaneously comply with.Birkenkötter, Hannah, Valentin Jeutner: Irresolvable Norm Conflicts in International Law: The Concept of a Legal Dilemma, 28 (2017) European Journal of International Law 1415-1428.

Examples include contradictory contracts where one clause directly negates another clause, or conflicts between fundamental (e.g. constitutional) legal norms. Leibniz's 1666 doctoral dissertation De casibus perplexis (Perplexing Cases) is an early study of contradictory legal conditions.Leibniz, Gottfried Wilhelm, "Inaugural Dissertation on Perplexing Cases in the Law" in Alberto Artosi, Bernardo Pieri, and Giovanni Sartor (eds.), Leibniz: Logico-Philosophical Puzzles in the Law (Springer 2013). In domestic law, it has been argued that the German Constitutional Court confronted a legal dilemma when determining, in connection with proceedings relating to the German Aviation Security Act, whether a government official could intentionally kill innocent civilians by shooting down a hijacked airplane that would otherwise have crashed into a football stadium, killing tens of thousands.Jeutner, Valentin (2017), Irresolvable Norm Conflicts in International Law: The Concept of a Legal Dilemma, Oxford University Press, p. 15, 72. See also Michael Bohlander, ‘Of Shipwrecked Sailors, Unborn Children, Conjoined Twins and Hijacked Airplanes—Taking Human Life and the Defence of Necessity’ (2006) 70 The Journal of Criminal Law 147.

In international law, it has been suggested that the International Court of Justice confronted a legal dilemma in its 1996 Nuclear Weapons Advisory Opinion. It was faced with the question whether, in an extreme circumstance of self-defence, it is a state's right to self-defence or international law's general prohibition of that should take priority.Jeutner, Valentin (2017), Irresolvable Norm Conflicts in International Law: The Concept of a Legal Dilemma, Oxford University Press, p. 10–11.

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