quantifier-free sentence
1Quantifier elimination — is a technique in mathematical logic, model theory, and theoretical computer science.We say that a given theory has quantifier elimination if for every sentence with quantification there exists an equivalent (modulo the theory) sentence without… …
2quantifier — Informally, a quantifier is an expression that reports a quantity of times that a predicate is satisfied in some class of things (i.e. in a ‘domain’). Thus, thinking about a class of children and their diets, one might report that some eat cake,… …
3Bounded quantifier — In the study of formal theories in mathematical logic, bounded quantifiers are often added to a language. These are two quantifiers in addition to forall and exists. They are motivated by the fact that determining whether a sentence with only… …
4Cleft sentence — A cleft sentence is a complex sentence (one having a main clause and a dependent clause) that has a meaning that could be expressed by a simple sentence. Clefts typically put a particular constituent into focus. This focusing is often accompanied …
5Donkey sentence — Donkey sentences are sentences that contain a certain type of anaphora, such as: Every farmer who owns a donkey beats it. Every police officer who arrested a murderer insulted him. Donkey sentences became a major force in advancing semantic… …
6Original 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… …
7Model 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,… …
8HEBREW LANGUAGE — This entry is arranged according to the following scheme: pre biblical biblical the dead sea scrolls mishnaic medieval modern period A detailed table of contents precedes each section. PRE BIBLICAL nature of the evidence the sources phonology… …
9language, philosophy of — Philosophical study of the nature and use of natural languages and the relations between language, language users, and the world. It encompasses the philosophical study of linguistic meaning (see semantics), the philosophical study of language… …
10Real closed field — In mathematics, a real closed field is a field F in which any of the following equivalent conditions are true:#There is a total order on F making it an ordered field such that, in this ordering, every positive element of F is a square in F and… …
