- finite compactness
- мат. конечная компактность
Большой англо-русский и русско-английский словарь. 2001.
Большой англо-русский и русско-английский словарь. 2001.
Finite model theory — is a subfield of model theory that focuses on properties of logical languages, such as first order logic, over finite structures, such as finite groups, graphs, databases, and most abstract machines. It focuses in particular on connections… … Wikipedia
Compactness theorem — In mathematical logic, the compactness theorem states that a set of first order sentences has a model if and only if every finite subset of it has a model. This theorem is an important tool in model theory, as it provides a useful method for… … Wikipedia
Finite intersection property — In general topology, the finite intersection property is a property of a collection of subsets of a set X . A collection has this property if the intersection over any finite subcollection of the collection is nonempty.DefinitionLet X be a set… … Wikipedia
Finite topological space — In mathematics, a finite topological space is a topological space for which the underlying point set is finite. That is, it is a topological space for which there are only finitely many points.While topology is mostly interesting only for… … Wikipedia
compactness — See compactly. * * * ▪ mathematics in mathematics, property of some topological spaces (a generalization of Euclidean space) that has its main use in the study of functions defined on such spaces. An open covering of a space (or set) is a… … Universalium
compactness theorem — Theorem stating that any collection of well formed formulae of a language has a model, if every finite subset of the collection has a model … Philosophy dictionary
Gromov's compactness theorem (topology) — For Gromov s compactness theorem in Riemannian geometry, see that article. In symplectic topology, Gromov s compactness theorem states that a sequence of pseudoholomorphic curves in an almost complex manifold with a uniform energy bound must have … Wikipedia
Compact space — Compactness redirects here. For the concept in first order logic, see compactness theorem. In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness… … Wikipedia
Model theory — This article is about the mathematical discipline. For the informal notion in other parts of mathematics and science, see Mathematical model. In mathematics, model theory is the study of (classes of) mathematical structures (e.g. groups, fields,… … Wikipedia
First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… … Wikipedia
Gödel's completeness theorem — is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first order logic. It was first proved by Kurt Gödel in 1929. A first order formula is called logically valid if… … Wikipedia