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  2. Quantitative linguistics - Wikipedia

    en.wikipedia.org/wiki/Quantitative_linguistics

    Quantitative linguistics deals with language learning, language change, and application as well as structure of natural languages. QL investigates languages using statistical methods; its most demanding objective is the formulation of language laws and, ultimately, of a general theory of language in the sense of a set of interrelated languages ...

  3. Model-theoretic grammar - Wikipedia

    en.wikipedia.org/wiki/Model-theoretic_grammar

    The approach applies the mathematical techniques of model theory to the task of syntactic description: a grammar is a theory in the logician's sense (a consistent set of statements) and the well-formed structures are the models that satisfy the theory.

  4. Theory (mathematical logic) - Wikipedia

    en.wikipedia.org/wiki/Theory_(mathematical_logic)

    A syntactically consistent theory is a theory from which not every sentence in the underlying language can be proven (with respect to some deductive system, which is usually clear from context). In a deductive system (such as first-order logic) that satisfies the principle of explosion , this is equivalent to requiring that there is no sentence ...

  5. List of mathematical theories - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_theories

    Almgren–Pitts min-max theory; Approximation theory; Arakelov theory; Asymptotic theory; Automata theory; Bass–Serre theory; Bifurcation theory; Braid theory; Brill–Noether theory; Catastrophe theory; Category theory; Chaos theory; Character theory; Choquet theory; Class field theory; Cobordism theory; Coding theory; Cohomology theory ...

  6. Modern elementary mathematics - Wikipedia

    en.wikipedia.org/wiki/Modern_elementary_mathematics

    Psychology in mathematics education is an applied research domain, with many recent developments relevant to elementary mathematics. A major aspect is the study of motivation; while most young children enjoy some mathematical practices, by the age of seven to ten many lose interest and begin to experience mathematical anxiety.

  7. Diagram (mathematical logic) - Wikipedia

    en.wikipedia.org/wiki/Diagram_(mathematical_logic)

    In model theory, a branch of mathematical logic, the diagram of a structure is a simple but powerful concept for proving useful properties of a theory, for example the amalgamation property and the joint embedding property, among others.

  8. Usage-based models of language - Wikipedia

    en.wikipedia.org/wiki/Usage-based_models_of_language

    Hans-Jörg Schmid’s "Entrenchment-and-Conventionalization" Model offers a comprehensive recent summary approach to usage-based thinking. [19] In great detail and with reference to many sub-disciplines and concepts in linguistics he shows how usage mediates between entrenchment, the establishment of linguistic habits in individuals via repetition and associations, and conventionalization, a ...

  9. Model theory - Wikipedia

    en.wikipedia.org/wiki/Model_theory

    In mathematical logic, model theory is the study of the relationship between formal theories (a collection of sentences in a formal language expressing statements about a mathematical structure), and their models (those structures in which the statements of the theory hold). [1]