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In natural language semantics, denotations are conceived of as the outputs of the semantic component of the grammar.For example, the denotation of the word "blue" is the property of being blue and the denotation of the word "Barack Obama" is the person who goes by that name.
In computer science, denotational semantics (initially known as mathematical semantics or Scott–Strachey semantics) is an approach of formalizing the meanings of programming languages by constructing mathematical objects (called denotations) that describe the meanings of expressions from the languages.
Literal language is the usage of words exactly according to their direct, straightforward, or conventionally accepted meanings: their denotation. Figurative (or non-literal ) language is the usage of words in a way that deviates from their conventionally accepted definitions in order to convey a more complex meaning or a heightened effect. [ 1 ]
To transmit information, both the addresser and the addressee must use the same code, whether in the literal sense, e.g. Morse Code or in the form of a language. The denotative meaning of a signifier is intended to communicate the objective semantic content of the represented thing.
To coin a word to refer to a thing, the community must agree on a simple meaning (a denotative meaning) within their language, but that word can transmit that meaning only within the language's grammatical structures and codes. Codes also represent the values of the culture, and are able to add new shades of connotation to every aspect of life.
French semiotician Roland Barthes used signs to explain the concept of connotation—cultural meanings attached to words—and denotation—literal or explicit meanings of words. [2] Without Saussure's breakdown of signs into signified and signifier, however, these semioticians would not have had anything to base their concepts on.
The denotative relation is the relation between signs and objects. An arbitrary association exists between the signified and the signifier. For example, a US salesperson doing business in Japan might interpret silence following an offer as rejection, while to Japanese negotiators silence means the offer is being considered.
Austin's work ultimately suggests that all speech and all utterance is the doing of something with words and signs, challenging a metaphysics of language that would posit denotative, propositional assertion as the essence of language and meaning.