Syntax (logic) - Syntactic Entities - Interpretations

Interpretations

An interpretation of a formal system is the assignment of meanings to the symbols, and truth values to the sentences of a formal system. The study of interpretations is called formal semantics. Giving an interpretation is synonymous with constructing a model. An interpretation is expressed in a metalanguage, which may itself be a formal language, and as such itself is a syntactic entity.

Read more about this topic:  Syntax (logic), Syntactic Entities

Other articles related to "interpretation, interpretations":

Arne Næss - Philosophy
... main philosophical work from the 1950s was entitled "Interpretation and Preciseness" ... This was an application of set theory to the problems of language interpretation, extending the work of semanticists such as Charles Kay Ogden in The Meaning of ... any given utterance (word, phrase, or sentence) can be considered as having different potential interpretations, depending on prevailing language norms, the characteristics of particular persons or groups of ...
Sentence Processing - Ambiguity and Sentence Comprehension
... For example, the sentence Time flies like an arrow has (at least) the interpretations Time moves as quickly as an arrow, A special kind of fly, called ... Usually, readers will be only aware of the first interpretation ... A sentence is globally ambiguous if it has two distinct interpretations ...
Alchemist - Modern Alchemy
... of science, have been strongly influenced by several distinct and radically different interpretations ... sources by modern authors to support spiritual interpretations ... on alchemy published since 1970 support spiritual interpretations, mostly using previously adulterated documents to support their conclusions ...
Snake-witch Stone - Parallels, Interpretations, and Speculation
... Arrhenius and Holmquist (1960) also found a connection with late Celtic art suggesting that the stone depicted Daniel in the lions' den and compared it with a depiction on a purse lid from Sutton Hoo, although the stone in question does not show creatures with legs ... Arwidsson (1963) also attributed the stone to late Celtic art and compared it with the figure holding a snake on the Gundestrup cauldron ...
Lost Decade (Japan) - Interpretations
... In response to the recession, Japanese policymakers tried a series of government economic stimulus programs and bank bailouts ... A 2.4% budget surplus in 1991 turned to a deficit of 4.3% by 1996 and 10% by 1998, with the national debt to GDP ratio reaching 100% ...