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A dilemma () is a
problem Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business an ...
offering two possibilities, neither of which is unambiguously acceptable or preferable. The possibilities are termed the ''horns'' of the dilemma, a
cliché A cliché ( or ; ) is a saying, idea, or element of an artistic work that has become overused to the point of losing its original meaning, novelty, or literal and figurative language, figurative or artistic power, even to the point of now being b ...
d usage, but distinguishing the dilemma from other kinds of predicament as a matter of usage.


Terminology

The term ''dilemma'' is attributed by
Gabriel Nuchelmans Gabriel Nuchelmans (15 May 1922, Oud Gastel – 6 August 1996, Wassenaar) was a Dutch philosopher, who focused on the history of philosophy as well as on logic and the philosophy of language more in particular. Biography After completing high sch ...
to
Lorenzo Valla Lorenzo Valla (; also latinized as Laurentius; 1 August 1457) was an Italian Renaissance humanist, rhetorician, educator and scholar. He is best known for his historical-critical textual analysis that proved that the Donation of Constantine w ...
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
Greek Greek may refer to: Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group *Greek language, a branch of the Indo-European language family **Proto-Greek language, the assumed last common ancestor of all kno ...
''dilemmaton''. Nuchelmans argued that his probable source was a logic text of of
George of Trebizond George of Trebizond (; 1395–1486) was a Byzantine Greek philosopher, scholar, and humanist. Life He was born on the Greek island of Crete (then a Venetian colony known as the Kingdom of Candia), and derived his surname Trapezuntius (Τραπ ...
. He also concluded that Valla had reintroduced to the Latin West a type of argument that had fallen into disuse. Valla's
neologism In linguistics, a neologism (; also known as a coinage) is any newly formed word, term, or phrase that has achieved popular or institutional recognition and is becoming accepted into mainstream language. Most definitively, a word can be considered ...
did not immediately take hold, preference being given to the established Latin term ''complexio'', used by
Cicero Marcus Tullius Cicero ( ; ; 3 January 106 BC – 7 December 43 BC) was a Roman statesman, lawyer, scholar, philosopher, orator, writer and Academic skeptic, who tried to uphold optimate principles during the political crises tha ...
, with ''conversio'' applied to the upsetting of dilemmatic reasoning. With the support of
Juan Luis Vives Juan Luis Vives y March (; ; ; ; 6 March 6 May 1540) was a Spaniards, Spanish (Valencian people, Valencian) scholar and Renaissance humanist who spent most of his adult life in the southern Habsburg Netherlands. His beliefs on the soul, insigh ...
, 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 A false dilemma, also referred to as false dichotomy or false binary, is an informal fallacy based on a premise that erroneously limits what options are available. The source of the fallacy lies not in an invalid form of inference but in a false ...
, which is a logical
fallacy A fallacy is the use of invalid or otherwise faulty reasoning in the construction of an argument that may appear to be well-reasoned if unnoticed. The term was introduced in the Western intellectual tradition by the Aristotelian '' De Sophisti ...
. Traditional usage distinguished the dilemma as a "horned
syllogism A syllogism (, ''syllogismos'', 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions that are asserted or assumed to be true. In its earliest form (defin ...
" from the
sophism A sophist () was a teacher in ancient Greece in the fifth and fourth centuries BCE. Sophists specialized in one or more subject areas, such as philosophy, rhetoric, music, athletics and mathematics. They taught ''arete'', "virtue" or "excellen ...
that attracted the Latin name ''cornutus''. The original use of the word ''horns'' in English has been attributed to
Nicholas Udall Nicholas Udall (or Uvedale Udal, Woodall, or other variations) (1504 – 23 December 1556) was an English playwright, cleric, schoolmaster, the author of '' Ralph Roister Doister'', generally regarded as the first comedy written in the English ...
in his 1548 book ''Paraphrases'', translating from the Latin term ''cornuta interrogatio''.


Dilemmatic arguments

The dilemma is sometimes used as a
rhetorical device In rhetoric, a rhetorical device, persuasive device, or stylistic device is a technique that an author or speaker uses to convey to the listener or reader a meaning with the goal of persuading them towards considering a topic from a perspective, ...
. Its isolation as textbook material has been attributed to
Hermogenes of Tarsus Hermogenes of Tarsus (; ) was a Greek rhetorician, surnamed The Polisher (, ''xustḗr''). He flourished in the reign of Marcus Aurelius (161–180 AD). Life and work His precocious ability secured him a public appointment as teacher of his art ...
in his work ''On Invention''. C. S. Peirce gave a definition of ''dilemmatic argument'' as any argument relying on
excluded middle In logic, the law of excluded middle or the principle of excluded middle states that for every proposition, either this proposition or its negation is true. It is one of the three laws of thought, along with the law of noncontradiction and th ...
.


In logic

In
propositional logic The propositional calculus is a branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. Sometimes, it is called ''first-order'' propositional logic to contra ...
, ''dilemma'' is applied to a group of
rules of inference Rules of inference are ways of deriving conclusions from premises. They are integral parts of formal logic, serving as norms of the logical structure of valid arguments. If an argument with true premises follows a rule of inference then the c ...
, which are in themselves valid rather than fallacious. They each have three premises, and include the
constructive dilemma Constructive dilemmaCopi and Cohen is a valid rule of inference of propositional logic. It is the inference that, if ''P'' implies ''Q'' and ''R'' implies ''S'' and either ''P'' or ''R'' is true, then either ''Q or S'' has to be true. In sum, i ...
and
destructive dilemma Destructive dilemmaMoore and Parker is the name of a valid rule of inference of propositional logic. It is the inference that, if ''P'' implies ''Q'' and ''R'' implies ''S'' and either ''Q'' is false or ''S'' is false, then either ''P'' or ''R' ...
. 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".


In philosophy

Dilemmatic reasoning has been attributed to
Melissus of Samos Melissus of Samos (; ; ) was the third and last member of the ancient school of Eleatic philosophy, whose other members included Zeno and Parmenides. Little is known about his life, except that he was the commander of the Samian fleet in the Sam ...
, a
Presocratic Pre-Socratic philosophy, also known as early Greek philosophy, is ancient Greek philosophy before Socrates. Pre-Socratic philosophers were mostly interested in cosmology, the beginning and the substance of the universe, but the inquiries of the ...
philosopher whose works survive in fragmentary form, making the origins of the technique in philosophy imponderable. It was established with
Diodorus Cronus Diodorus Cronus (; died c. 284 BC) was a Greek philosopher and dialectician connected to the Megarian school. He was most notable for logic innovations, including his master argument formulated in response to Aristotle's discussion of future ...
(died ). The paradoxes of
Zeno of Elea Zeno of Elea (; ; ) was a pre-Socratic Greek philosopher from Elea, in Southern Italy (Magna Graecia). He was a student of Parmenides and one of the Eleatics. Zeno defended his instructor's belief in monism, the idea that only one single en ...
were reported by
Aristotle Aristotle (; 384–322 BC) was an Ancient Greek philosophy, Ancient Greek philosopher and polymath. His writings cover a broad range of subjects spanning the natural sciences, philosophy, linguistics, economics, politics, psychology, a ...
in dilemma form, but that may have been to conform with what
Plato Plato ( ; Greek language, Greek: , ; born  BC, died 348/347 BC) was an ancient Greek philosopher of the Classical Greece, Classical period who is considered a foundational thinker in Western philosophy and an innovator of the writte ...
said about Zeno's style.


Moral dilemmas along with ethical dilemmas

In cases where two
moral principle Morality () is the categorization of intentions, decisions and actions into those that are ''proper'', or ''right'', and those that are ''improper'', or ''wrong''. Morality can be a body of standards or principles derived from a code of conduc ...
s 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 Marcus Tullius Cicero ( ; ; 3 January 106 BC – 7 December 43 BC) was a Roman statesman, lawyer, scholar, philosopher, orator, writer and Academic skeptic, who tried to uphold optimate principles during the political crises tha ...
, in book III of his ''
De Officiis ''De Officiis'' (''On Duties'', ''On Obligations'', or ''On Moral Responsibilities'') is a 44 BC treatise by Marcus Tullius Cicero divided into three books, in which Cicero expounds his conception of the best way to live, behave, and observe mor ...
''. In the Christian tradition of
casuistry Casuistry ( ) is a process of reasoning that seeks to resolve moral problems by extracting or extending abstract rules from a particular case, and reapplying those rules to new instances. This method occurs in applied ethics and jurisprudence. ...
, an approach to abstract ranking of principles introduced by
Bartolomé de Medina Bartolomé de Medina may refer to: * Bartolomé de Medina (theologian) * Bartolomé de Medina (mining specialist) Bartolomé de Medina (born around 1504 in Seville) was a Spanish merchant known for his invention of the patio process. Biography I ...
in the 16th century became tainted with the accusation of
laxism In Catholic moral theology, probabilism provides a way of answering the question about what to do when one does not know what to do. Probabilism proposes that one can follow an authoritative opinion regarding whether an act may be performed mor ...
, as did casuistry itself. 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.


In law

In law, Valentin Jeutner has argued that the term "legal dilemma" could be used as a term-of-art, to describe a situation where a legal subject is confronted with two or more legal norms that the legal subject cannot simultaneously comply with. Examples include contradictory contracts where one clause directly negates another clause, or conflicts between fundamental (e.g.
constitutional A constitution is the aggregate of fundamental principles or established precedents that constitute the legal basis of a polity, organization or other type of entity, and commonly determines how that entity is to be governed. When these princ ...
) legal norms. Leibniz's 1666 doctoral dissertation ''De casibus perplexis'' (Perplexing Cases) is an early study of contradictory legal conditions. In domestic law, it has been argued that the
German Constitutional Court The Federal Constitutional Court ( ; abbreviated: ) is the supreme constitutional court for the Federal Republic of Germany, established by the constitution or Basic Law () of Germany. Since its inception with the beginning of the post-Wo ...
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. In international law, it has been suggested that the
International Court of Justice The International Court of Justice (ICJ; , CIJ), or colloquially the World Court, is the only international court that Adjudication, adjudicates general disputes between nations, and gives advisory opinions on International law, internation ...
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
nuclear weapon A nuclear weapon is an explosive device that derives its destructive force from nuclear reactions, either fission (fission or atomic bomb) or a combination of fission and fusion reactions (thermonuclear weapon), producing a nuclear exp ...
s 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.


See also

* *


References


External links

* {{Authority control Arguments Concepts in logic Rhetoric