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

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

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)...

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...

abstract model theory is a generalization of model theory that studies the general properties of extensions of first-order logic and their models. Abstract...

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