equality predicate
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Equality (mathematics) — Loosely, equality is the state of being quantitatively the same. More formally, equality (or the identity relation) is the binary relation on a set X defined by . The identity relation is the archetype of the more general concept of an… … Wikipedia
Original proof of Gödel's completeness theorem — The proof of Gödel s completeness theorem given by Kurt Gödel in his doctoral dissertation of 1929 (and a rewritten version of the dissertation, published as an article in 1930) is not easy to read today; it uses concepts and formalism that are… … Wikipedia
Logic programming — is, in its broadest sense, the use of mathematical logic for computer programming. In this view of logic programming, which can be traced at least as far back as John McCarthy s [1958] advice taker proposal, logic is used as a purely declarative… … Wikipedia
Logical constant — In symbolic logic, a logical constant of a language L is a symbol that has the same semantic value in all models of (the expressions of) L . Two important types of logical constants are logical connectives and quantifiers. The equality predicate… … Wikipedia
List of published false theorems — The historical record of mathematics and mathematicians is excellent overall. Few published theorems have later been discovered to be false. However, a number of well known exceptions are listed below.*In 1803, Gian Francesco Malfatti proved that … 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
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
Principia Mathematica — For Isaac Newton s book containing basic laws of physics, see Philosophiæ Naturalis Principia Mathematica. The title page of the shortened version of the Principia Mathematica to *56. The Principia Mathematica is a three volume work on the… … Wikipedia
Combinatory logic — Not to be confused with combinational logic, a topic in digital electronics. Combinatory logic is a notation introduced by Moses Schönfinkel and Haskell Curry to eliminate the need for variables in mathematical logic. It has more recently been… … 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
Null (SQL) — The Greek lowercase omega (ω) character is used to represent Null in database theory. Null is a special marker used in Structured Query Language (SQL) to indicate that a data value does not exist in the database. Introduced by the creator of the… … Wikipedia
