Abstract
The research of metaphor understanding is a significant field of cognitive science. Metaphor plays an important role in natural language discourse. There is a close relationship between logic and metaphor. Metaphor can be described by epistemic logic. In this article, we try to put forward a logical system to describe metaphor understanding within context. First, we introduce some basic concepts of this metaphor understanding logical system. Then, a logical system of metaphor understanding within context is constructed, including the language, semantics, axioms and so on. Finally, some discussions about this logical system are showed.
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