Optimality Theory
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Optimality Theory
In linguistics, Optimality Theory (frequently abbreviated OT) is a linguistic model proposing that the observed forms of language arise from the optimal satisfaction of conflicting constraints. OT differs from other approaches to phonological analysis, such as autosegmental phonology and linear phonology (SPE), which typically use rules rather than constraints. OT models grammars as systems that provide mappings from inputs to outputs; typically, the inputs are conceived of as underlying representations, and the outputs as their surface realizations. It is an approach within the larger framework of generative grammar. In linguistics, Optimality Theory has its origin in a talk given by Alan Prince and Paul Smolensky in 1991 which was later developed in a book manuscript by the same authors in 1993. Overview There are three basic components of the theory: * Generator () takes an input, and generates the list of possible outputs, or candidates, * Constraint component () provi ...
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Linguistics
Linguistics is the scientific study of human language. It is called a scientific study because it entails a comprehensive, systematic, objective, and precise analysis of all aspects of language, particularly its nature and structure. Linguistics is concerned with both the cognitive and social aspects of language. It is considered a scientific field as well as an academic discipline; it has been classified as a social science, natural science, cognitive science,Thagard, PaulCognitive Science, The Stanford Encyclopedia of Philosophy (Fall 2008 Edition), Edward N. Zalta (ed.). or part of the humanities. Traditional areas of linguistic analysis correspond to phenomena found in human linguistic systems, such as syntax (rules governing the structure of sentences); semantics (meaning); morphology (structure of words); phonetics (speech sounds and equivalent gestures in sign languages); phonology (the abstract sound system of a particular language); and pragmatics (how soc ...
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Metathesis (linguistics)
Metathesis (; from Greek , from "I put in a different order"; Latin: ''transpositio'') is the transposition of sounds or syllables in a word or of words in a sentence. Most commonly, it refers to the interchange of two or more contiguous segments or syllables, known as adjacent metathesis or local metathesis: * ''foliage'' > ''**foilage'' (adjacent segments) * ''anemone'' > ''**anenome'' (adjacent syllables) * ''cavalry'' > ''**calvary'' (codas of adjacent syllables) Metathesis may also involve interchanging non-contiguous sounds, known as nonadjacent metathesis, long-distance metathesis, or hyperthesis, as shown in these examples of metathesis sound change from Latin to Spanish: * Latin > Spanish "word" * Latin > Spanish "miracle" * Latin > Spanish "danger, peril" * Latin > Spanish "crocodile" Many languages have words that show this phenomenon, and some even use it as a regular part of their grammar, such as Hebrew and Fur. The process of metathesis has altered ...
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Distinctive Feature
In linguistics, a distinctive feature is the most basic unit of phonological structure that distinguishes one sound from another within a language. For example, the feature oicedistinguishes the two bilabial plosives: and There are many different ways of defining and arranging features into ''feature systems'': some deal with only one language while others are developed to apply to all languages. Distinctive features are grouped into categories according to the natural classes of segments they describe: major class features, laryngeal features, manner features, and place features. These feature categories in turn are further specified on the basis of the phonetic properties of the segments in question. For phonemes to be in a particular natural class, they have to share the same distinctive features such as articulation and/or sound similar to each other. We can find distinctive features between two words by finding the minimal pair between them. The minimal pair are when tw ...
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Reduplication
In linguistics, reduplication is a morphological process in which the root or stem of a word (or part of it) or even the whole word is repeated exactly or with a slight change. The classic observation on the semantics of reduplication is Edward Sapir's: "generally employed, with self-evident symbolism, to indicate such concepts as distribution, plurality, repetition, customary activity, increase of size, added intensity, continuance." Reduplication is used in inflections to convey a grammatical function, such as plurality, intensification, etc., and in lexical derivation to create new words. It is often used when a speaker adopts a tone more "expressive" or figurative than ordinary speech and is also often, but not exclusively, iconic in meaning. Reduplication is found in a wide range of languages and language groups, though its level of linguistic productivity varies. Reduplication is found in a wide variety of languages, as exemplified below. Examples of it can be found ...
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Elision
In linguistics, an elision or deletion is the omission of one or more sounds (such as a vowel, a consonant, or a whole syllable) in a word or phrase. However, these terms are also used to refer more narrowly to cases where two words are run together by the omission of a final sound. An example is the elision of word-final /t/ in English if it is preceded and followed by a consonant: "first light" is often pronounced /fɜ:s laɪt/. Many other terms are used to refer to particular cases where sounds are omitted. Citation forms and contextual forms A word may be spoken individually in what is called the Lemma (morphology), citation form. This corresponds to the pronunciation given in a dictionary. However, when words are spoken in context, it often happens that some sounds that belong to the citation form are omitted. Elision is not an all-or-nothing process: elision is more likely to occur in some styles of speaking and less likely in others. Many writers have described the styles ...
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Ordered Bell Number
In number theory and enumerative combinatorics, the ordered Bell numbers or Fubini numbers count the number of weak orderings on a set of ''n'' elements (orderings of the elements into a sequence allowing ties, such as might arise as the outcome of a horse race).. Because of this application, de Koninck calls these numbers "horse numbers", but this name does not appear to be in widespread use. Starting from ''n'' = 0, these numbers are :1, 1, 3, 13, 75, 541, 4683, 47293, 545835, 7087261, 102247563, ... . The ordered Bell numbers may be computed via a summation formula involving binomial coefficients, or by using a recurrence relation. Along with the weak orderings, they count several other types of combinatorial objects that have a bijective correspondence to the weak orderings, such as the ordered multiplicative partitions of a squarefree number or the faces of all dimensions of a permutohedron (e.g. the sum of faces of all dimensions in the truncated octahedron is ...
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Antimatroid
In mathematics, an antimatroid is a formal system that describes processes in which a set is built up by including elements one at a time, and in which an element, once available for inclusion, remains available until it is included. Antimatroids are commonly axiomatized in two equivalent ways, either as a set system modeling the possible states of such a process, or as a formal language modeling the different sequences in which elements may be included. Dilworth (1940) was the first to study antimatroids, using yet another axiomatization based on lattice theory, and they have been frequently rediscovered in other contexts. The axioms defining antimatroids as set systems are very similar to those of matroids, but whereas matroids are defined by an '' exchange axiom'', antimatroids are defined instead by an ''anti-exchange axiom'', from which their name derives. Antimatroids can be viewed as a special case of greedoids and of semimodular lattices, and as a generalization of ...
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Factorial
In mathematics, the factorial of a non-negative denoted is the product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial: \begin n! &= n \times (n-1) \times (n-2) \times (n-3) \times \cdots \times 3 \times 2 \times 1 \\ &= n\times(n-1)!\\ \end For example, 5! = 5\times 4! = 5 \times 4 \times 3 \times 2 \times 1 = 120. The value of 0! is 1, according to the convention for an empty product. Factorials have been discovered in several ancient cultures, notably in Indian mathematics in the canonical works of Jain literature, and by Jewish mystics in the Talmudic book '' Sefer Yetzirah''. The factorial operation is encountered in many areas of mathematics, notably in combinatorics, where its most basic use counts the possible distinct sequences – the permutations – of n distinct objects: there In mathematical analysis, factorials are used in power series for the exponential functi ...
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Well-formedness
__NOTOC__ Well-formedness is the quality of a clause, word, or other linguistic element that conforms to the grammar of the language of which it is a part. Well-formed words or phrases are grammatical, meaning they obey all relevant rules of grammar. In contrast, a form that violates some grammar rule is ill-formed and does not constitute part of the language. A word may be phonologically well-formed, meaning it conforms to the sound pattern of the language. A word, phrase, clause, or utterance may be grammatically well-formed, meaning it obeys the rules of morphology and syntax. A semantically well-formed utterance or sentence is one that is meaningful. Grammatical well-formedness and semantic well-formedness do not always coincide. For example, the following sentence is grammatically well-formed, but has no clear meaning. :''Colorless green ideas sleep furiously.'' The concept of well-formedness was developed in generative grammar during the twentieth century. Sometimes native ...
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Elision
In linguistics, an elision or deletion is the omission of one or more sounds (such as a vowel, a consonant, or a whole syllable) in a word or phrase. However, these terms are also used to refer more narrowly to cases where two words are run together by the omission of a final sound. An example is the elision of word-final /t/ in English if it is preceded and followed by a consonant: "first light" is often pronounced /fɜ:s laɪt/. Many other terms are used to refer to particular cases where sounds are omitted. Citation forms and contextual forms A word may be spoken individually in what is called the Lemma (morphology), citation form. This corresponds to the pronunciation given in a dictionary. However, when words are spoken in context, it often happens that some sounds that belong to the citation form are omitted. Elision is not an all-or-nothing process: elision is more likely to occur in some styles of speaking and less likely in others. Many writers have described the styles ...
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Epenthesis
In phonology, epenthesis (; Greek ) means the addition of one or more sounds to a word, especially in the beginning syllable ('' prothesis'') or in the ending syllable ('' paragoge'') or in-between two syllabic sounds in a word. The word ''epenthesis'' comes from "in addition to" and ''en-'' "in" and ''thesis'' "putting". Epenthesis may be divided into two types: excrescence for the addition of a consonant, and for the addition of a vowel, svarabhakti (in Hindi, Bengali and other North Indian languages, stemming from Sanskrit) or alternatively anaptyxis (). The opposite process, where one or more sounds are removed, is referred to as elision In linguistics, an elision or deletion is the omission of one or more sounds (such as a vowel, a consonant, or a whole syllable) in a word or phrase. However, these terms are also used to refer more narrowly to cases where two words are run toget .... Uses Epenthesis arises for a variety of reasons. The phonotactics of a given langu ...
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