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For example, a stubborn person may be described as being either strong-willed or pig-headed; although these have the same literal meaning (stubborn), strong-willed connotes admiration for the level of someone's will (a positive connotation), while pig-headed connotes frustration in dealing with someone (a negative connotation).
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.
Drawing from the original word or definition proposed by Saussure (1857-1913), a sign has two parts: . as a signifier, i.e. it will have a form that a person can see, touch, smell, and/or hear, and
An extensional definition gives meaning to a term by specifying its extension, that is, every object that falls under the definition of the term in question.. For example, an extensional definition of the term "nation of the world" might be given by listing all of the nations of the world, or by giving some other means of recognizing the members of the corresponding class.
In semiotics, connotation arises when the denotative relationship between a signifier and its signified is inadequate to serve the needs of the community.A second level of meanings is termed connotative.
Let F denote a (class) function F to be defined on the ordinals. The idea now is that, in defining F(α) for an unspecified ordinal α, one may assume that F(β) is already defined for all β < α and thus give a formula for F(α) in terms of these F(β). It then follows by transfinite induction that there is one and only one function ...
In the philosophy of language and modal logic, a term is said to be a non-rigid designator (or flaccid designator) or connotative term if it does not extensionally designate (denote, refer to) the same object in all possible worlds.
In semiotics, signified and signifier (French: signifié and signifiant) are the two main components of a sign, where signified is what the sign represents or refers to, known as the "plane of content", and signifier which is the "plane of expression" or the observable aspects of the sign itself.