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elementarily definable set

См. также в других словарях:

  • o-minimal theory — In mathematical logic, and more specifically in model theory, an infinite structure (M,<,...) which is totally ordered by < is called an o minimal structure if and only if every definable subset X ⊂ M (with parameters taken from… …   Wikipedia

  • metalogic — /met euh loj ik/, n. the logical analysis of the fundamental concepts of logic. [1835 45; META + LOGIC] * * * Study of the syntax and the semantics of formal languages and formal systems. It is related to, but does not include, the formal… …   Universalium

  • 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

  • Interpretation (logic) — An interpretation is an assignment of meaning to the symbols of a formal language. Many formal languages used in mathematics, logic, and theoretical computer science are defined in solely syntactic terms, and as such do not have any meaning until …   Wikipedia

  • Core model — In set theory, the core model is a definable inner model of the universe of all sets. Even though set theorists refer to the core model , it is not a uniquely identified mathematical object. Rather, it is a class of inner models that under the… …   Wikipedia

  • Saturated model — There is an unrelated notion of saturated model in the context of structural equation modeling. In mathematical logic, and particularly in its subfield model theory, a saturated model M is one which realizes as many complete types as may be… …   Wikipedia

  • Mathematical logic — (also known as symbolic logic) is a subfield of mathematics with close connections to foundations of mathematics, theoretical computer science and philosophical logic.[1] The field includes both the mathematical study of logic and the… …   Wikipedia

  • Vopěnka's principle — In mathematics, Vopěnka s principle, named after Petr Vopěnka, is a large cardinal axiom.Vopěnka s principle asserts that for every proper class of binary relations (with set sized domain), there is one elementarily embeddable into another.… …   Wikipedia

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