Self-reference

Self-reference occurs in natural or formal languages when a sentence, idea or formula refers to itself. The reference may be expressed either directly—through some intermediate sentence or formula—or by means of some encoding. In philosophy, it also refers to the ability of a subject to speak of or refer to itself: to have the kind of thought expressed by the first person nominative singular pronoun, the word "I" in English.

Self-reference is studied and has applications in mathematics, philosophy, computer programming, and linguistics. Self-referential statements are sometimes paradoxical, and can also be considered recursive.

Usage

The Ouroboros, a dragon that continually consumes itself, is used as a symbol for self-reference.[1]

Self-reference occurs in literature and film when an author refers to his or her own work in the context of the work itself. Famous examples include Cervantes's Don Quixote, Shakespeare's A Midsummer Night's Dream, Denis Diderot's Jacques le fataliste et son maître, Italo Calvino's If on a winter's night a traveler, many stories by Nikolai Gogol, Lost in the Funhouse by John Barth, Luigi Pirandello's Six Characters in Search of an Author and Federico Fellini's . This is closely related to the concepts of breaking the fourth wall and meta-reference, which often involve self-reference.

The surrealist painter René Magritte is famous for his self-referential works. His painting The Treachery of Images, includes the words this is not a pipe, the truth of which depends entirely on whether the word "ceci" (in English, "this") refers to the pipe depictedor to the painting or the word or sentence itself.[2]

In computer science, self-reference occurs in reflection, where a program can read or modify its own instructions like any other data.[3] Numerous programming languages support reflection to some extent with varying degrees of expressiveness. Additionally, self-reference is seen in recursion (related to the mathematical recurrence relation), where a code structure refers back to itself during computation.[4]

Examples

In language

A word that describes itself is called an autological word (or autonym). This generally applies to adjectives, for example sesquipedalian (i.e. "sesquipedalian" is a sesquipedalian word), but can also apply to other parts of speech, such as TLA, as a three-letter abbreviation for "three-letter abbreviation", and PHP which is a recursive acronym for "PHP: Hypertext Preprocessor".[5]

A sentence which inventories its own letters and punctuation marks is called an autogram.

Hofstadter's law, which specifies that "It always takes longer than you expect, even when you take into account Hofstadter's Law"[6] is an example of a self-referencing adage.

Fumblerules are a list of rules of good grammar and writing, demonstrated through sentences that violate those very rules, such as "Avoid cliches like the plague" and "Don't use no double negatives". The term was coined in a published list of such rules by William Safire.[7][8]

In mathematics

In literature, film, and popular culture

Main article: Metafiction

See also

References

  1. Soto-Andrade, Jorge; Jaramillo, Sebastian; Gutierrez, Claudio; Letelier, Juan-Carlos. "Ouroboros avatars: A mathematical exploration of Self-reference and Metabolic Closure" (PDF). MIT Press. Retrieved 16 May 2015.
  2. Nöth, Winfried; Bishara, Nina (2007). Self-reference in the Media. Walter de Gruyter. p. 75. ISBN 978-3-11-019464-7.
  3. Malenfant, J.; Demers, F-N. "A Tutorial on Behavioral Reflection and its Implementation" (PDF). PARC. Retrieved 17 May 2015.
  4. Drucker, Thomas (4 January 2008). Perspectives on the History of Mathematical Logic. Springer Science & Business Media. p. 110. ISBN 978-0-8176-4768-1.
  5. PHP Manual: Preface, www.php.net
  6. Hofstadter, Douglas. Gödel, Escher, Bach: An Eternal Golden Braid. 20th anniversary ed., 1999, p. 152. ISBN 0-465-02656-7
  7. alt.usage.english.org's Humorous Rules for Writing
  8. Safire, William (1979-11-04). "On Language; The Fumblerules of Grammar". New York Times. p. SM4.
  9. "Recursive Science Fiction" New England Science Fiction Association website, last updated 3 August 2008

Sources

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