Arbitrariness

Arbitrariness is the quality of being "determined by chance, whim, or impulse, and not by necessity, reason, or principle". It is also used to refer to a choice made without any specific criterion or restraint.[1][2]

Arbitrary decisions are not necessarily the same as random decisions. For example, during the 1973 oil crisis, Americans were allowed to purchase gasoline only on odd-numbered days if their license plate was odd, and on even-numbered days if their license plate was even. The system was well-defined and not random in its restrictions; however, since license plate numbers are completely unrelated to a person's fitness to purchase gasoline, it was still an arbitrary division of people. Similarly, schoolchildren are often organized by their surname in alphabetical order, a non-random yet an arbitrary method—at least in cases where surnames are irrelevant.

Philosophy

Arbitrary actions are closely related to teleology, the study of purpose. Actions lacking a telos, a goal, are necessarily arbitrary. With no end to measure against, there can be no standard applied to choices, so all decisions are alike. Note that arbitrary or random methods in the standard sense of arbitrary may not qualify as arbitrary choices philosophically, if they were done in furtherance of a larger purpose (such as the examples above for the purposes of establishing discipline in school and avoiding overcrowding at gas stations).

Nihilism is the philosophy that believes that there is no purpose in the universe, and that every choice is arbitrary.[3] According to nihilism, the universe contains no value and is essentially meaningless. Because the universe and all of its constituents contain no higher goal for us to make subgoals from, all aspects of human life and experiences are completely arbitrary. There is no right or wrong decision, thought or practice, and whatever choice a human being makes is just as meaningless and empty as any other choice he or she could have made.[4]

Many brands of theism, the belief in a deity or deities, believe that everything has a purpose and that nothing is arbitrary. In these philosophies, God created the universe for a reason, and every event flows from that. Even seemingly random events cannot escape God's hand and purpose. This is somewhat related to the argument from design—the argument for God's existence because a purpose can be found in the universe.

Arbitrariness is also related to ethics, the philosophy of decision-making. Even if a person has a goal, they may choose to attempt to achieve it in ways that may be considered arbitrary. Rationalism holds that knowledge comes about through intellectual calculation and deduction; many rationalists (though not all) apply this to ethics as well. All decisions should be made through reason and logic, not via whim or how one "feels" what is right. Randomness may occasionally be acceptable as part of a subtask in furtherance of a larger goal, but not in general.

In semiotics, the general theory of signs, sign systems, and sign processes, Saussure introduced the notion of arbitrariness according to which there is no necessary connection between the material sign (or signifier), and the entity it refers to or denotes as its meaning (or signified) as a mental concept or real object.

Linguistics

The principle of semiotic arbitrariness refers to the idea that social convention is what imbues meaning to a given semiosis (any activity, conduct, or process that involves signs, including the production of meaning) or sign.[5]

Mathematics

A logical symbol is a fundamental concept in logic, tokens of which may be marks or a configuration of marks which form a particular pattern.

In mathematics, arbitrary corresponds to the term "any" and the universal quantifier ,[1] as in an arbitrary division of a set or an arbitrary permutation of a sequence. Its use implies generality and that a statement does not only apply to special cases, but that one may select any available choice and the statement will still hold. For example, one might say that:

"Given an arbitrary integer, multiplying it by two will result in an even number."

Even further, the implication of the use of "arbitrary" is that generality will hold—even if an opponent were to choose the item in question. In which case, arbitrary can be regarded as synonymous to worst-case.[6]

Law

Arbitrary comes from the Latin arbitrarius, the source of arbiter; someone who is tasked to judge some matter.[7] An arbitrary legal judgment is a decision made at the discretion of the judge, not one that is fixed by law.[8][2] In some countries, a prohibition of arbitrariness is enshrined into the constitution. Article 9 of the Swiss Federal Constitution theoretically overrides even democratic decisions in prohibiting arbitrary government action.[9] The US Supreme Court has overturned laws for having "no rational basis." A recent study of the U.S. asylum system suggests that arbitrariness in decision-making might be the cause of large disparities in outcomes between different adjudicators, a phenomenon described as refugee roulette.

Article 330 of the Russian penal code defines arbitrariness as a specific crime, but with a very broad definition encompassing any "actions contrary to the order presented by a law".[10]

gollark: But I have to !!manually-ish!! manage memory!
gollark: I prefer higher level stuff, although it may be the least bad available one now.
gollark: This is fairly troubling. I want to produce a game of some kind, ideally to run on the web (this isn't a big constraint nowadays given WASM). Unfortunately there are about 0 languages I like enough to use for this‽
gollark: * *that*?
gollark: > imagine you remove ABR and it sends a message saying it's sorry to see you go<@319753218592866315> Why would it say *that"?

See also

References

  1. "The Definitive Glossary of Higher Mathematical Jargon —Arbitrary". Math Vault. 2019-08-01. Retrieved 2019-11-19.
  2. "arbitrariness". Retrieved 21 April 2018 via The Free Dictionary.
  3. Magnus, Bernd (1971). "Nihilism, Reason, and "The Good"." The Review of Metaphysics. 25 (2):292310.
  4. "Nihilism". Internet Encyclopedia of Philosophy. Retrieved 2019-11-19.
  5. Chandler, Daniel. "Semiotics for Beginners". visual-memory.co.uk. Retrieved 2019-11-19.
  6. Tel, Gérard (2000). Introduction to distributed algorithms. Cambridge University Press. p. 245.
  7. Online Etymology Dictionary: "'deciding by one's own discretion,' from L. arbitrarius, from arbiter (see arbiter). The original meaning gradually to mean ‘capricious’ (1646) and ‘despotic’ (1642).”
  8. Curtis, Thomas. The London Encyclopaedia, page 565 (1829): “Arbitrary, and the words more immediately connected with it, signify that the decision of the arbiter is made in consequence of his own uncontrolled will, or in consequence of reasons which do not appear.”
  9. Federal Constitution of the Swiss Federation. The Federal Authorities of the Swiss Confederation.
  10. "Article 330. Arbitrariness". The Criminal Code Of The Russian Federation. Arbitrariness, that is the unauthorized commission of actions contrary to the order presented by a law or any other normative legal act,
  • The dictionary definition of arbitrary at Wiktionary
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