Formalizing Cognitive Grammar by Introducing Analogical-Operatorial (A-O) Mode of Language Use and i...

<jats:p> Formalization of cognitive grammar depends in an important way on modeling the process of assessing similarity. This article points out that such formalization is difficult to achieve within the present formulation [1] of the grammar and introduces a modification that will allow modeling the process of similarity. Next, it is suggested that the mechanism of assessing similarity in the modified analogical-operatorial version of cognitive grammar be that of analogical modeling presented in Skousen [2]. Finally, it indicates some consequences of the proposition for the practice of communication. The modification, the analogical-operatorial mode of language use, allows linguistic units, in addition to their function of representing the semantic meaning of these units, to serve as operators differentiating among semantic or other conceptual structures. This introduces inhomogeneity to the content purported with linguistic units and leads to preserving linguistic compositionality understood in a new sense. It also allows one to treat the pragmatic meaning in the same way as the semantic one, and accounts for a compact use of linguistic units. Using linguistic units to differentiate allows one to convey information not contained in the encoded meaning of these structures. This can be utilized to communicate more efficiently but also poses the danger of purporting unwanted meaning. </jats:p>