Abstract
Chapter 3 introduces the logic of conventional implicatures (CIs), which provide a starting point for analyzing the meanings of CI scalar modifiers and considering the relation between at-issue scalar meanings and CI scalar meanings in a more theoretical way. The logic of Cis introduced in this chapter is multidimensional. That is, in addition to a regular semantic type and compositional rules, it introduces the type systems of conventional implicature and various interpretive rules based on the systems, including CI application (Potts 2005), shunting application (McCready 2010), mixed application (McCready 2010; Gutzmann 2011), and expressive application (Gutzmann 2011; McCready 2010; Sawada 2013). These rules will be explained based on various examples such as epithets, honorifics, supplements, and diminutives.
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