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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]
An axiomatic system that is completely described is a special kind of formal system. A formal theory is an axiomatic system (usually formulated within model theory) that describes a set of sentences that is closed under logical implication. [1] A formal proof is a complete rendition of a mathematical proof within a formal system.
The formal discipline (or mental discipline) approach to learning believed that specific mental faculties could be strengthened by particular courses of training and that these strengthened faculties transferred to other situations, based on faculty psychology which viewed the mind as a collection of separate modules or faculties assigned to various mental tasks.
Formal science is a branch of science studying disciplines concerned with abstract structures described by formal systems, such as logic, mathematics, statistics, theoretical computer science, artificial intelligence, information theory, game theory, systems theory, decision theory and theoretical linguistics.
In model theory, a discipline within mathematical logic, a non-standard model is a model of a theory that is not isomorphic to the intended model ...
In his article "Restructuring Lattice Theory" (1982), [1] initiating formal concept analysis as a mathematical discipline, Wille starts from a discontent with the current lattice theory and pure mathematics in general: The production of theoretical results—often achieved by "elaborate mental gymnastics"—were impressive, but the connections between neighboring domains, even parts of a ...
Instructional design (ID), also known as instructional systems design and originally known as instructional systems development (ISD), is the practice of systematically designing, developing and delivering instructional materials and experiences, both digital and physical, in a consistent and reliable fashion toward an efficient, effective, appealing, engaging and inspiring acquisition of ...
Elocution emerged as a formal discipline during the eighteenth century. One of its important figures was Thomas Sheridan , actor and father of Richard Brinsley Sheridan . Thomas Sheridan's lectures on elocution, collected in Lectures on Elocution (1762) and his Lectures on Reading (1775), provided directions for marking and reading aloud ...