Points of Contrast
As a field, semantics is interested in three big questions: what does it mean for units of language, called lexemes, to have "meaning"? What does it mean for sentences to have meaning? Finally, how is it that meaningful units fit together to compose complete sentences? These are the main points of inquiry behind studies into lexical semantics, structural semantics, and theories of compositionality (respectively). In each category, traditional theories seem to be at odds with those accounts provided by cognitive semanticists.
Classic theories in semantics (in the tradition of Alfred Tarski and Donald Davidson) have tended to explain the meaning of parts in terms of necessary and sufficient conditions, sentences in terms of truth-conditions, and composition in terms of propositional functions. Each of these positions is tightly related to the others. According to these traditional theories, the meaning of a particular sentence may be understood as the conditions under which the proposition conveyed by the sentence hold true. For instance, the expression "snow is white" is true if and only if snow is, in fact, white. Lexical units can be understood as holding meaning either by virtue of set of things they may apply to (called the "extension" of the word), or in terms of the common properties that hold between these things (called its "intension"). The intension provides an interlocutor with the necessary and sufficient conditions that let a thing qualify as a member of some lexical unit's extension. Roughly, propositional functions are those abstract instructions that guide the interpreter in taking the free variables in an open sentence and filling them in, resulting in a correct understanding of the sentence as a whole.
Meanwhile, cognitive semantic theories are typically built on the argument that lexical meaning is conceptual. That is, meaning is not necessarily reference to the entity or relation in some real or possible world. Instead, meaning corresponds with a concept held in the mind based on personal understanding. As a result, semantic facts like "All bachelors are unmarried males" are not treated as special facts about our language practices; rather, these facts are not distinct from encyclopaedic knowledge. In treating linguistic knowledge as being a piece with everyday knowledge, the question is raised: how can cognitive semantics explain paradigmatically semantic phenomena, like category structure? Set to the challenge, researchers have drawn upon theories from related fields, like cognitive psychology and cognitive anthropology. One proposal is to treat in order to explain category structure in terms of nodes in a knowledge network. One example of a theory from cognitive science that has made its way into the cognitive semantic mainstream is the theory of prototypes, which cognitive semanticists generally argue is the cause of polysemy.
Cognitive semanticists argue that truth-conditional semantics is unduly limited in its account of full sentence meaning. While they are not on the whole hostile to truth-conditional semantics, they point out that it has limited explanatory power. That is to say, it is limited to indicative sentences, and does not seem to offer any straightforward or intuitive way of treating (say) commands or expressions. By contrast, cognitive semantics seeks to capture the full range of grammatical moods by also making use of the notions of framing and mental spaces.
Another trait of cognitive semantics is the recognition that meaning is not fixed but a matter of construal and conventionalization. The processes of linguistic construal, it is argued, are the same psychological processes involved in the processing of encyclopaedic knowledge and in perception. This view has implications for the problem of compositionality. An account in cognitive semantics called the dynamic construal theory makes the claim that words themselves are without meaning: they have, at best, "default construals," which are really just ways of using words. Along these lines, cognitive semantics argues that compositionality can only be intelligible if pragmatic elements like context and intention are taken into consideration.
Read more about this topic: Cognitive Semantics
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