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Interpretation (model theory), a technical notion that approximates the idea of representing a logical structure inside another structure Interpretation function, in mathematical logic a function that assigns functions and relations to the symbols of a signature
An interpretation is a descriptive interpretation (also called a factual interpretation) if at least one of the undefined symbols of its formal system becomes, in the interpretation, the name of a physical object, or observable property. A descriptive interpretation is a type of interpretation used in science and logic to talk about empirical ...
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 they are given some interpretation.
There are two broad categories [1] [2] of probability interpretations which can be called "physical" and "evidential" probabilities. Physical probabilities, which are also called objective or frequency probabilities , are associated with random physical systems such as roulette wheels, rolling dice and radioactive atoms.
An interpretation of a structure M in a structure N with parameters (or without parameters, respectively) is a pair (,) where n is a natural number and is a surjective map from a subset of N n onto M such that the -preimage (more precisely the -preimage) of every set X ⊆ M k definable in M by a first-order formula without parameters is definable (in N) by a first-order formula with ...
Allegorical interpretation states that biblical narratives have a second level of reference that is more than the people, events and things that are explicitly mentioned. One type of allegorical interpretation is known as typological, where the key figures, events, and establishments of the Old Testament are viewed as "types" (patterns). In the ...
Biblical hermeneutics is the study of the principles of interpretation concerning the books of the Bible.It is part of the broader field of hermeneutics, which involves the study of principles of interpretation, both theory and methodology, for all nonverbal and verbal communication forms. [1]
Statutory interpretation is the process by which courts interpret and apply legislation. Some amount of interpretation is often necessary when a case involves a statute. Sometimes the words of a statute have a plain and a straightforward meaning. But in many cases, there is some ambiguity in the words of the statute that must be resolved by the ...