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Meta (from the Greek μετά, ''
meta Meta (from the Greek μετά, '' meta'', meaning "after" or "beyond") is a prefix meaning "more comprehensive" or "transcending". In modern nomenclature, ''meta''- can also serve as a prefix meaning self-referential, as a field of study or ende ...
'', meaning "after" or "beyond") is a prefix meaning "more comprehensive" or "transcending". In modern nomenclature, ''meta''- can also serve as a prefix meaning self-referential, as a field of study or endeavor ( metatheory: theory about a theory,
metamathematics Metamathematics is the study of mathematics itself using mathematical methods. This study produces metatheories, which are mathematical theories about other mathematical theories. Emphasis on metamathematics (and perhaps the creation of the ter ...
: mathematical theories about mathematics, meta-axiomatics or meta-axiomaticity: axioms about axiomatic systems, metahumor: joking about the ways humor is expressed, etc.).


Original Greek meaning

In Greek, the prefix ''meta-'' is generally less esoteric than in English; Greek ''meta-'' is equivalent to the Latin words ''post-'' or ''ad-''. The use of the prefix in this sense occurs occasionally in scientific English terms derived from Greek. For example: the term '' Metatheria'' (the name for the
clade A clade (), also known as a monophyletic group or natural group, is a group of organisms that are monophyletic – that is, composed of a common ancestor and all its lineal descendants – on a phylogenetic tree. Rather than the English term, ...
of marsupial mammals) uses the prefix ''meta-'' in the sense that the '' Metatheria'' occur on the tree of life adjacent to the '' Theria'' (the placental mammals).


Epistemology

In epistemology, and often in common use, the prefix ''meta-'' is used to mean ''about (its own category)''. For example,
metadata Metadata is "data that provides information about other data", but not the content of the data, such as the text of a message or the image itself. There are many distinct types of metadata, including: * Descriptive metadata – the descriptive ...
are data about data (who has produced them, when, what format the data are in and so on). In a database, metadata are also data about data stored in a data dictionary and describe information (data) about database tables such as the table name, table owner, details about columns, etc. – essentially describing the table. In psychology, metamemory refers to an individual's knowledge about whether or not they would remember something if they concentrated on recalling it. The modern sense of "an X about X" has given rise to concepts like " meta-cognition" (cognition about cognition), " meta-emotion" (emotion about emotion), " meta-discussion" (discussion about discussion), " meta-joke" (joke about jokes) and " metaprogramming" (writing programs that write programs). In a rule-based system, a metarule is a rule governing the application of other rules. "Metagaming" accordingly, means games about games. However, it has a different meaning depending on the type of game. In role-playing games, this means that someone with a higher level of knowledge is playing, i.e. that the player incorporates factors that are outside the actual framework of the game. The player has knowledge that was not acquired through the play and experience in the game, but was obtained from external sources. This type of metagaming is often frowned upon in many role-playing game communities because it impairs game balance and equality of opportunity. Metagaming can also refer to a game that is used to create or change the rules while playing a game. One can play this kind of metagame and choose which rules apply during the game itself. Therefore one has the possibility, among other things, to adjust or increase the level of difficulty. Such metagame include campaign role-playing games like Halo 3. Complex card or board games, e.g.
poker Poker is a family of comparing card games in which players wager over which hand is best according to that specific game's rules. It is played worldwide, however in some places the rules may vary. While the earliest known form of the game w ...
or chess, are also referred to as metagames.  According to Nigel Howard, this kind of metagame is defined as a decision-making process that is derived from the analysis of possible outcomes in relation to external variables that change a problem.


Abstraction and self-reference

Any subject can be said to have a '' metatheory'', a theoretical consideration of its properties – such as its foundations, methods, form, and utility – on a higher level of abstraction. In linguistics, a grammar is considered as being expressed in a
metalanguage In logic and linguistics, a metalanguage is a language used to describe another language, often called the ''object language''. Expressions in a metalanguage are often distinguished from those in the object language by the use of italics, quot ...
: language operating on a higher level to describe properties of the plain language (and not itself).


Etymology

The prefix comes from the Greek
preposition Prepositions and postpositions, together called adpositions (or broadly, in traditional grammar, simply prepositions), are a class of words used to express spatial or temporal relations (''in'', ''under'', ''towards'', ''before'') or mark various ...
and
prefix A prefix is an affix which is placed before the Word stem, stem of a word. Adding it to the beginning of one word changes it into another word. For example, when the prefix ''un-'' is added to the word ''happy'', it creates the word ''unhappy'' ...
''meta-'' (μετα-), from μετά, which meant "after", "beside", "with", "among" Other meanings include "beyond", "adjacent" and "self", and it is also used in the forms μετ- before vowels and μεθ- "meth-" before
aspirated vowel In the Greek diacritics, polytonic orthography of Ancient Greek, the rough breathing ( grc, δασὺ πνεῦμα, dasỳ pneûma or ''daseîa''; la, spīritus asper) character is a diacritic, diacritical mark used to indicate the presence o ...
s. The earliest form of the word "meta" is the Mycenaean Greek ''me-ta'', written in
Linear B Linear B was a syllabic script used for writing in Mycenaean Greek, the earliest attested form of Greek. The script predates the Greek alphabet by several centuries. The oldest Mycenaean writing dates to about 1400 BC. It is descended from ...
syllabic script. The Greek preposition is
cognate In historical linguistics, cognates or lexical cognates are sets of words in different languages that have been inherited in direct descent from an etymology, etymological ancestor in a proto-language, common parent language. Because language c ...
with the
Old English Old English (, ), or Anglo-Saxon, is the earliest recorded form of the English language, spoken in England and southern and eastern Scotland in the early Middle Ages. It was brought to Great Britain by Anglo-Saxon settlement of Britain, Anglo ...
preposition ''mid'' "with", still found as a prefix in ''midwife''. Its use in English is the result of back-formation from the word "metaphysics". In origin '' Metaphysics'' was just the title of one of the principal works of Aristotle; it was so named (by
Andronicus of Rhodes Andronicoos of Rhodes ( grc, Ἀνδρόνικος ὁ Ῥόδιος, translit=Andrónikos ho Rhódios; la, Andronicus Rhodius; ) was a Greek philosophy, Greek philosopher from Rhodes who was also the scholarch (head) of the Peripatetic school. He ...
) because in the customary ordering of the works of Aristotle it was the book following '' Physics''; it thus meant nothing more than "
he book that comes He or HE may refer to: Language * He (pronoun), an English pronoun * He (kana), the romanization of the Japanese kana へ * He (letter), the fifth letter of many Semitic alphabets * He (Cyrillic), a letter of the Cyrillic script called ''He'' in ...
after
he book entitled He or HE may refer to: Language * He (pronoun), an English pronoun * He (kana), the romanization of the Japanese kana へ * He (letter), the fifth letter of many Semitic alphabets * He (Cyrillic), a letter of the Cyrillic script called ''He'' in ...
''Physics''". However, even Latin writers misinterpreted this as entailing metaphysics constituted "the science of what is beyond the physical". Nonetheless, Aristotle's ''Metaphysics'' enunciates considerations of natures above physical realities, which one can examine through this particular part of philosophy – for example, the existence of God. The use of the prefix was later extended to other contexts, based on the understanding of metaphysics as meaning "the science of what is beyond the physical".


Early use in English

The '' Oxford English Dictionary'' cites uses of the ''meta-'' prefix as "beyond, about" (such as meta-economics and meta-philosophy) going back to 1917. However, these formations are parallel to the original "metaphysics" and "metaphysical", that is, as a prefix to general nouns (fields of study) or adjectives. Going by the ''OED'' citations, it began being used with specific nouns in connection with mathematical logic sometime before 1929. (In 1920
David Hilbert David Hilbert (; ; 23 January 1862 – 14 February 1943) was a German mathematician, one of the most influential mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many a ...
proposed a research project in what was called "
metamathematics Metamathematics is the study of mathematics itself using mathematical methods. This study produces metatheories, which are mathematical theories about other mathematical theories. Emphasis on metamathematics (and perhaps the creation of the ter ...
.") A notable early citation is W. V. O. Quine's 1937 use of the word "metatheorem", where meta- has the modern meaning of "an X about X".
Douglas Hofstadter Douglas Richard Hofstadter (born February 15, 1945) is an American scholar of cognitive science, physics, and comparative literature whose research includes concepts such as the sense of self in relation to the external world, consciousness, an ...
, in his 1979 book ''
Gödel, Escher, Bach ''Gödel, Escher, Bach: an Eternal Golden Braid'', also known as ''GEB'', is a 1979 book by Douglas Hofstadter. By exploring common themes in the lives and works of logician Kurt Gödel, artist M. C. Escher, and composer Johann Sebastian Bach, t ...
'' (and in the 1985 sequel, '' Metamagical Themas''), popularized this meaning of the term. The book, which deals with
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 philoso ...
and
strange loop A strange loop is a cyclic structure that goes through several levels in a hierarchical system. It arises when, by moving only upwards or downwards through the system, one finds oneself back where one started. Strange loops may involve self-refe ...
s, and touches on Quine and his work, was influential in many computer-related subcultures and may be responsible for the popularity of the prefix, for its use as a solo term, and for the many recent coinages which use it. Hofstadter uses meta as a stand-alone word, as an adjective and as a directional preposition ("going meta," a term he coins for the old rhetorical trick of taking a debate or analysis to another level of abstraction, as when somebody says "This debate isn't going anywhere"). This book may also be responsible for the association of "meta" with strange loops, as opposed to just abstraction. According to Hofstadter, it is about
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 philoso ...
, which means a sentence, idea or formula refers to itself. The Merriam-Webster Dictionary describes it as "showing or suggesting an explicit awareness of itself or oneself as a member of its category: cleverly self-referential". The sentence "This sentence contains thirty-six letters," and the sentence which embeds it, are examples of "metasentences" referencing themselves in this way. As maintained in the book,
Gödel, Escher, Bach ''Gödel, Escher, Bach: an Eternal Golden Braid'', also known as ''GEB'', is a 1979 book by Douglas Hofstadter. By exploring common themes in the lives and works of logician Kurt Gödel, artist M. C. Escher, and composer Johann Sebastian Bach, t ...
a strange loop is given if different logical statements or theories are put together in contradiction and thus distorted in meaning and generate logical paradoxes. One example is the liar paradox. A liar's paradox is a paradox in philosophy or logic that arises when a sentence claims its own falsehood (or untruth), for instance: "This sentence is not true." Until the beginning of the 20th century, this kind of paradoxes were a considerable problem for a philosophical theory of truth. Alfred Tarski solved this difficulty by proving that such paradoxes do not exist with a consistent separation of object language and metalanguage. "For every formalized language, a formally correct and factually applicable definition of the true statement can be constructed in the metalanguage with the sole help of expressions of a general-logical character, expressions of the language itself and of terms from the morphology of the language, but on the condition that the metalanguage is of a higher order than the language that is the subject of the investigation."Alfred Tarski: ''Der Wahrheitsbegriff in den formalisierten Sprachen'', in: Studia Philosophica
emberg Emberg is a German language habitational surname. Notable people with the name include: * Bella Emberg (1937–2018), English comedy actress * Kelly Emberg Kelly Kay Emberg (born July 2, 1959) is an American former model who appeared in the ''S ...
1 (1936), S. 261–40
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Metagaming


See also

* * Fourth wall * Metaverse


References


External links


List of ancient Greek words starting with ''meta-''
on Perseus {{Meta-prefix Abstraction Concepts in epistemology Philosophical methodology Prefixes