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**axiomatized**— axiomatize (Amer.) v. express a theory as a set of basic assumption (also axiomatise) … English contemporary dictionary**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**Axiom schema**— In mathematical logic, an axiom schema generalizes the notion of axiom.An axiom schema is a formula in the language of an axiomatic system, in which one or more schematic variables appear. These variables, which are metalinguistic constructs,… … Wikipedia**logic, history of**— Introduction the history of the discipline from its origins among the ancient Greeks to the present time. Origins of logic in the West Precursors of ancient logic There was a medieval tradition according to which the Greek philosopher … Universalium**Relation algebra**— is different from relational algebra, a framework developed by Edgar Codd in 1970 for relational databases. In mathematics, a relation algebra is a residuated Boolean algebra supporting an involutary unary operation called converse. The… … Wikipedia**Algebraic structure**— In algebra, a branch of pure mathematics, an algebraic structure consists of one or more sets closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties. The… … Wikipedia**Kripke semantics**— (also known as relational semantics or frame semantics, and often confused with possible world semantics) is a formal semantics for non classical logic systems created in the late 1950s and early 1960s by Saul Kripke. It was first made for modal… … 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**Newton da Costa**— at Berkeley in 1973 Photo courtesy George M. Bergman Full name Newton da Costa Born 16 September 1929 (1929 09 16) (age 82) Curitiba, B … Wikipedia**Residuated lattice**— In abstract algebra, a residuated lattice is an algebraic structure that is simultaneously a lattice x le; y and a monoid x • y which admits operations x z and z / y loosely analogous to division or implication when x • y is viewed as… … Wikipedia