In mathematical logic, model theory is the study of the relationship between formal theories (a collection of sentences in a formal language expressing...

Finite model theory is a subarea of model theory. Model theory is the branch of logic which deals with the relation between a formal language (syntax)...

Measure theory — Model theory — Module theory — Morse theory — Nevanlinna theory — Number theory — Obstruction theory — Operator theory — Order theory — PCF...

framework of pregeometries. In the branch of mathematical logic called model theory, infinite finitary matroids, there called "pregeometries" (and "geometries"...

models are central to philosophy of science. In scholarly research and applied science, a model should not be confused with a theory: while a model seeks...

Mathematics portal Glossary of set theory Class (set theory) List of set theory topics Relational model – borrows from set theory Venn diagram In his 1925 paper...

empirical results. The Bohr model is a relatively primitive model of the hydrogen atom, compared to the valence shell model. As a theory, it can be derived as...

In model theory, a first-order theory is called model complete if every embedding of its models is an elementary embedding. Equivalently, every first-order...

In model theory and related areas of mathematics, a type is an object that describes how a (real or possible) element or finite collection of elements...

a model for a language moreover satisfies a particular sentence or theory (set of sentences), it is called a model of the sentence or theory. Model theory...

In model theory, interpretation of a structure M in another structure N (typically of a different signature) is a technical notion that approximates the...

In set theory, inner model theory is the study of certain models of ZFC or some fragment or strengthening thereof. Ordinarily these models are transitive...

Grand Unified Theory (GUT) is any model in particle physics that merges the electromagnetic, weak, and strong forces (the three gauge interactions of...

mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory). Research in mathematical...

choice model, also called rational choice theory refers to a set of guidelines that help understand economic and social behaviour. The theory originated...

In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations and relations that are defined on...

Atomic theory is the scientific theory that matter is composed of particles called atoms. The definition of the word "atom" has changed over the years...

technical progress (Solow model). However, the savings rate and rate of technological progress remain unexplained. Endogenous growth theory tries to overcome...

the RGB color model already had a solid theory behind it, based in human perception of colors. RGB is a device-dependent color model: different devices...

discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential...

matrix, for example: Situational Leadership Theory, now named the Situational Leadership Model, is a model created by Dr. Paul Hersey and Dr. Ken Blanchard...

from the theory. A satisfiable theory is a theory that has a model. This means there is a structure M that satisfies every sentence in the theory. Any satisfiable...

cosmology, the steady-state model or steady state theory is an alternative to the Big Bang theory. In the steady-state model, the density of matter in the...

Relational models theory (RMT) is a theory of interpersonal relationships, authored by anthropologist Alan Fiske and initially developed from his fieldwork...

Standard Model (MSSM) and Next-to-Minimal Supersymmetric Standard Model (NMSSM), and entirely novel explanations, such as string theory, M-theory, and extra...

science and applied probability, ruin theory (sometimes risk theory or collective risk theory) uses mathematical models to describe an insurer's vulnerability...

mathematical logic, a theory is categorical if it has exactly one model (up to isomorphism). Such a theory can be viewed as defining its model, uniquely characterizing...

these two forces appear very different at everyday low energies, the theory models them as two different aspects of the same force. Above the unification...

In set theory, a branch of mathematical logic, an inner model for a theory T is a substructure of a model M of a set theory that is both a model for T...

Consequently, proof theory is syntactic in nature, in contrast to model theory, which is semantic in nature. Some of the major areas of proof theory include structural...