The Integrational theory of language is the general theory of language that has been developed within the general linguistic approach of integrational linguistics. Differently from most other approaches in linguistics, integrational linguistics emphasizes a distinction between theories of language and theories of language descriptions. Integrational linguistics has therefore developed both a general theory of language and a theory of linguistic descriptions, the integrational theory of grammars. The integrational theory of language contains two major subtheories: (i) the integrational theory of linguistic variability, which is 'conflated' with (ii) the integrational theory of language systems. One of the most distinctive features of the integrational theory of language is its adherence to ontological explicitness and constructiveness: the ontological status of every linguistic entity postulated by the theory is clearly determined (explicitness), and every entity is a logical or set-theoretical construct ultimately related to a small number of sets of basic entities that include, in particular, objects and events in space-time (constructiveness).
The integrational theory of linguistic variability
Linguistic variability From its inception, IL has regarded linguistic variability, i.e. the changeability of languages along dimensions such as time, geographical space, social stratification etc., as an essential property of natural languages that has to be treated in any realistic theory of language; certain idealizations, such as Chomsky's 'completely homogeneous speech-community,' are rejected. The Integrational Theory of Linguistic Variability thus aims at providing a theoretical framework for variation research (including studies in sociolinguistics, dialectology, and historical linguistics) and a basis for a realistic theory of language systems. The theory centers around the notion of 'idiolect,' in a specific sense of the term that avoids traditional problems: an idiolect is a homogeneous part of an individual speaker's share of a language (a speaker's total share of a language, called a 'personal variety,' is not an idiolect in this sense but is a set of idiolects). Such an idiolect, understood as an individual (linguistic) means of communication of a person during a certain period of time, simultaneously belongs to a certain period of the language, to a certain dialect, sociolect, register, medial variety, etc. A natural language (understood as a historical language during the entire span of its existence, or a period – a major temporal part – of a historical language) is construed as a set of idiolects, and each variety of the language is a subset of the language. Sets of idiolects (such as languages and their varieties) are called 'communication complexes.' The varieties of a language are given through its 'variety structure': a classification system whose source is the language itself.
Idiolects and idiolect systems Ontologically, an idiolect is construed as a (possibly infinite) set of abstract sentences: form-meaning pairs consisting, in the case of a spoken rather than a written or signed idiolect, of a structured phonetic sound sequence and a meaning of this sequence. For each idiolect in a language, there is a system (idiolect system) that specifies which form-meaning pairs are elements of the idiolect. Every idiolect system consists of (technically: is an n-tuple whose components are) a phonetic, phonological, morphological, syntactic, lexico-semantic, and sentence-semantic part; and each part determines a different type of properties that the form-meaning pairs must have in order to belong to the idiolect. In written idiolect systems, the phonetic and phonological parts are replaced by a graphetic and a graphematic part, in signed idiolect systems by a cheremic and a cherematic part. (There may be other components in addition to the ones listed above; the precise structure of idiolect systems is a matter of ongoing research.) The parts of an idiolect system are grouped into the sound system (script system, chereme system), the morpho-syntactic (or grammatical) subsystem, and the semantic subsystem of the idiolect system. (There is no pragmatic part or subsystem – 'pragmatic' properties of form-meaning pairs, as far as they are determined by the idiolect system itself, are covered by the semantic subsystem, or else indirectly by the idiolect's place in the variety structure.) Finally, a system for a language (or language variety) is a construct of properties shared by every system of every idiolect in the language (or language variety). Idiolects, varieties, languages, and their systems are all construed as extramental and abstract. Systems of idiolects (idiolect systems) and systems for languages differ from each other both ontologically and in their relation to speakers' minds. Idiolect systems are n-tuples (as specified above) whereas language systems are sets of properties of such n-tuples. Moreover, for every idiolect that is a means of communication for a given speaker, there must be a (psychological and physiological) internal basis in the speaker that corresponds to a system of this idiolect, but there is no such internal basis for entire language systems. From an IL point of view, distinguishing between language systems, idiolect systems, idiolects (themselves no systems), and speaker-internal bases for idiolects is a cornerstone for a realistic theory of natural languages and language use. A full representation of the Integrational Theory of Linguistic Variability and discussion of rival theories can be found in Lieb (1993); for the conceptions of languages and idiolects, see also Lieb (1983), Part A.
The integrational theory of language systems
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