axiomatizability
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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
New Foundations — In mathematical logic, New Foundations (NF) is an axiomatic set theory, conceived by Willard Van Orman Quine as a simplification of the theory of types of Principia Mathematica. Quine first proposed NF in a 1937 article titled New Foundations for … Wikipedia
Institutional model theory — generalizes a large portion of first order model theory to an arbitrary logical system. The notion of logical system here is formalized as an institution. Institutions constitute a model oriented meta theory on logical systems similar to how the… … Wikipedia
Номинализм — (лат. nominalis относящийся к именам, именной, от nomen имя) философское учение, согласно которому имена свойств, классов и отношений не являются собственными именами, т.е. именами отдельных единичных «сущностей» реальных или идеальных, а … Большая советская энциклопедия
Zermelo–Fraenkel set theory — Zermelo–Fraenkel set theory, with the axiom of choice, commonly abbreviated ZFC, is the standard form of axiomatic set theory and as such is the most common foundation of mathematics.ZFC consists of a single primitive ontological notion, that of… … Wikipedia
Von Neumann–Bernays–Gödel set theory — In the foundations of mathematics, von Neumann–Bernays–Gödel set theory (NBG) is an axiomatic set theory that is a conservative extension of the canonical axiomatic set theory ZFC. A statement in the language of ZFC is provable in NBG if and only … Wikipedia
Robert Lawson Vaught — (April 4 1926, Alhambra, California – April 2 2002) was a mathematical logician, and one of the founders of model theory. LifeVaught was a bit of a musical prodigy in his youth, in his case the piano. He began his university studies at Pomona… … Wikipedia
Structure (mathematical logic) — In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations and relations which are defined on it. Universal algebra studies structures that generalize the algebraic structures such as… … Wikipedia
Whitehead's point-free geometry — In mathematics, point free geometry is a geometry whose primitive ontological notion is region rather than point. Two axiomatic systems are set out below, one grounded in mereology, the other in mereotopology and known as connection theory… … Wikipedia
Craig's theorem — In mathematical logic, Craig s theorem states that any recursively enumerable set of well formed formulas of a first order language is (primitively) recursively axiomatizable. This result is not related to the well known Craig interpolation… … Wikipedia
