Search results
Results from the WOW.Com Content Network
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 ...
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.
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 ...
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 ...
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.
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.
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 ...
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]