Trilemma

A trilemma is a difficult choice from three options, each of which is (or appears) unacceptable or unfavourable.

There are two logically equivalent ways in which to express a trilemma: it can be expressed as a choice among three unfavourable options, one of which must be chosen, or as a choice among three favourable options, only two of which are possible at the same time.

The term derives from the much older term dilemma, a choice between two or more difficult or unfavourable alternatives.

The earliest recorded use of the term was by the British preacher Philip Henry in 1672, and later, apparently independently, by the preacher Isaac Watts in 1725.^[1]

Trilemmas in religion

Epicurus' trilemma

One of the earliest uses of the trilemma formulation is that of the Greek philosopher Epicurus, rejecting the idea of an omnipotent and omnibenevolent God (as summarised by David Hume):^[2]

1. If God is unable to prevent evil, then he is not all-powerful.
2. If God is not willing to prevent evil, then he is not all-good.
3. If God is both willing and able to prevent evil, then why does evil exist?

Although traditionally ascribed to Epicurus, it has been suggested that it may actually be the work of an early skeptic writer, possibly Carneades.^[3]

In studies of philosophy, discussions and debates related to this trilemma are often referred to as being about the "problem of evil".

Apologetic trilemma

One well-known trilemma is sometimes used by Christian apologists as a proof of the divinity of Jesus,^[4] and is most commonly known in the version by C. S. Lewis. It proceeds from the assumption that Jesus claimed to be God, and that therefore one of the following must be true:^[5]

1. Lunatic: Jesus was not God, but he mistakenly believed that he was.
2. Liar: Jesus was not God, and he knew it, but he said so anyway.
3. Lord: Jesus is God.

The trilemma, usually in Lewis' formulation, is often used in works of popular apologetics, although it is almost totally absent from discussions about the status of Jesus by professional theologians and biblical scholars.^[6] In his 1993 book The Metaphor of God Incarnate, John Hick recalled having been taught this argument as a child, and states that New Testament scholars today do not support the view that Jesus claimed to be God.^[7]

Trilemma in law

The "cruel trilemma"

The "cruel trilemma"^[8] was an English ecclesiastical and judicial weapon^[9] developed in the first half of the 17th century, and used as a form of coercion and persecution. The format was a religious oath to tell the truth, imposed upon the accused prior to questioning. The accused would find themselves trapped between:

1. A breach of religious oath if they lied (taken extremely seriously in that era, a mortal sin,^[8] and perjury);
2. Self-incrimination if they told the truth; or
3. Contempt of court if they said nothing and were silent.

Outcry over this process led to the foundation of the right to not incriminate oneself being established in common law and was the direct precursor of the right to silence and non-self-incrimination in the Fifth Amendment to the United States Constitution.

Trilemmas in philosophy

The Münchhausen trilemma

In the theory of knowledge the Münchhausen trilemma is a philosophical term coined to stress the impossibility to prove any certain truth even in the fields of logic and mathematics. Its name is going back to a logical proof of the German philosopher Hans Albert. This proof runs as follows: All of the only three possible attempts to get a certain justification must fail:

1. All justifications in pursuit of certain knowledge have also to justify the means of their justification and doing so they have to justify anew the means of their justification. Therefore, there can be no end. We are faced with the hopeless situation of an infinite regression.
2. One can stop at self-evidence or common sense or fundamental principles or speaking 'ex cathedra' or at any other evidence, but in doing so the intention to install certain justification is abandoned.
3. The third horn of the trilemma is the application of a circular argument.

The trilemma of censorship

In Mill's On Liberty, as a part of his argument against the suppression of free speech, he describes the trilemma facing those attempting to justify such suppression (although he does not refer to it as a trilemma Leo Parker-Rees (2009) identified it as such). If free speech is suppressed, the opinion suppressed is either:^[10]

1. True – in which case society is robbed of the chance to exchange error for truth;
2. False – in which case the opinion would create a 'livelier impression' of the truth, allowing people to justify the correct view;
3. Half-true – in which case it would contain a forgotten element of the truth, that is important to rediscover, with the eventual aim of a synthesis of the conflicting opinions that is the whole truth.

Trilemmas in economics

"The Uneasy Triangle"

In 1952, the British magazine, The Economist, published a series of articles on an "Uneasy Triangle," which described "the three-cornered incompatibility between a stable price level, full employment, and ... free collective bargaining." The context was the difficulty maintaining external balance without sacrificing two sacrosanct political values, jobs for all and unrestricted labor rights. Inflation resulting from labor militancy in the context of full employment put powerful downward pressure on the pound sterling. Runs on the pound triggered a long series of economically and politically disruptive "stop-go" policies (deflation followed by reflation).^[11] John Maynard Keynes had anticipated the severe problem associated with reconciling full employment with stable prices without sacrificing democracy and the associational rights of labor.^[12] The same incompatibilities were also elaborated on in Charles Lindblom's 1949 book, Unions and Capitalism.^[13]

The "Impossible trinity"

In 1962 and 1963, a trilemma (or "impossible trinity") was introduced by economists Robert Mundell and Marcus Fleming in articles discussing the problems with creating a stable international financial system. It refers to the trade-offs among the following three goals: a fixed exchange rate, national independence in monetary policy, and capital mobility. According to the Mundell–Fleming model of 1962 and 1963, a small, open economy cannot achieve all three of these policy goals at the same time: in pursuing any two of these goals, a nation must forgo the third.^[14]

Wage policy trilemmas

In 1989 Peter Swenson posited the existence of "wage policy trilemmas" encountered by trade unions trying to achieve three egalitarian goals simultaneously. One involved attempts to compress wages within a bargaining sector while compressing wages between sectors and maximizing access to employment in the sector. A variant of this "horizontal" trilemma was the "vertical" wage policy trilemma associated with trying simultaneously to compress wages, increase the wage share of value added at the expense of profits, and maximize employment. These trilemmas helped explain instability in unions' wage policies and their political strategies seemingly designed to resolve the incompatibilities.^[15]

The Pinker social trilemma

Steven Pinker proposed another social trilemma in his books How the Mind Works and The Blank Slate: that a society cannot be simultaneously "fair", "free" and "equal". If it is "fair", individuals who work harder will accumulate more wealth; if it is "free", parents will leave the bulk of their inheritance to their children; but then it will not be "equal", as people will begin life with different fortunes.

Trilemmas in business

The project-management trilemma

The project management triangle as a "pick any two" Euler diagram.

Arthur C. Clarke cited a management trilemma encountered when trying to achieve production quickly and cheaply while maintaining high quality.^[16] In the software industry, this means that one can pick any two of: fastest time to market, highest software quality (fewest defects), and lowest cost (headcount). This is the basis of the popular project management aphorism "Quick, Cheap, Good: Pick two," conceptualized as the project management triangle.

The trilemma of an encyclopedia

The Stanford Encyclopedia of Philosophy^[17] is said^[18] to have overcome the trilemma that an encyclopedia cannot be authoritative, comprehensive and up-to-date all at the same time for any significant duration.

Trilemma in computing

The RAID technology may offer two of the three desirable value: (relative) inexpensiveness, speed or reliability (RAID 0 is fast and cheap, but unreliable; RAID 6 is extremely expensive and reliable, with correct performance and so on). The phrase "fast, cheap, good: choose two".

It had been pastiched in silent computing as "fast, cheap, quiet: choose two".

Further trilemma in computing include the CAP theorem about guarantees provided by distributed systems, and Zooko's triangle for naming participants in network protocols.

The Trilemma of the Earth

The “Trilemma of the Earth” (or “3E Trilemma”) is a term used by scientists working on energy and environment protection. 3E Trilemma stands for Economy-Energy-Environment interaction.

For the activation of economic development (E: Economy) to occur, we need to increase the energy expenditure (E: Energy) however this raises the environmental issue (E: Environment) of more emissions of pollutant gases.^[19][20]

The Žižek trilemma

Depiction of the Žižek Trilemma

The “Žižek trilemma” is a humorous formulation on the incompatibility of certain personal virtues under a constraining ideological framework. Often attributed to the philosopher Slavoj Žižek, it is actually quoted by him as the product of an anonymous source:

One cannot but recall here a witty formula of life under a hard Communist regime: Of the three features — personal honesty, sincere support of the regime and intelligence — it was possible to combine only two, never all three. If one were honest and supportive, one was not very bright; if one were bright and supportive, one was not honest; if one were honest and bright, one was not supportive.^[21]

See also

• Inconsistent triad
• Project triangle
• Ternary plot
• Trichotomy

References

External links

•  Chisholm, Hugh, ed. (1911). "Trilemma". Encyclopædia Britannica (11th ed.). Cambridge University Press.