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v. t. e. In linguistics, word order (also known as linear order) is the order of the syntactic constituents of a language. Word order typology studies it from a cross-linguistic perspective, and examines how languages employ different orders. Correlations between orders found in different syntactic sub-domains are also of interest.
First-order logic —also called predicate logic, predicate calculus, quantificational logic —is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables, so that rather than ...
A class K of structures of a signature σ is called an elementary class if there is a first-order theory T of signature σ, such that K consists of all models of T, i.e., of all σ-structures that satisfy T. If T can be chosen as a theory consisting of a single first-order sentence, then K is called a basic elementary class.
Linguistic typology. In linguistic typology, subject–verb–object ( SVO) is a sentence structure where the subject comes first, the verb second, and the object third. Languages may be classified according to the dominant sequence of these elements in unmarked sentences (i.e., sentences in which an unusual word order is not used for emphasis).
List or describe a set of sentences in the language L σ, called the axioms of the theory. Give a set of σ-structures, and define a theory to be the set of sentences in L σ holding in all these models. For example, the "theory of finite fields" consists of all sentences in the language of fields that are true in all finite fields. An L σ ...
When using first-order semantics, an additional sort is added for each higher-order type, as in the case of a many sorted first order language. Structures that are proper classes. In the study of set theory and category theory, it is sometimes useful to consider structures in which the domain of discourse is a proper class instead of a set.
In linguistic typology, a verb – object – subject or verb–object– agent language, which is commonly abbreviated VOS or VOA, is one in which most sentences arrange their elements in that order. That would be the equivalent in English to "Ate oranges Sam." The relatively rare default word order accounts for only 3% of the world's languages.
Unmarked word order Natural languages. OSV is rarely used in unmarked sentences, which use a normal word order without emphasis. Most languages that use OSV as their default word order come from the Amazon basin, such as Xavante, Jamamadi, Apurinã, Warao, Kayabí and Nadëb. Here is an example from Apurinã: