The conceptual structure of deontic meaning: A model based on geometrical principles

Abstract

Deontic meanings have frequently been considered in relation to epistemic meanings and the present paper introduces a novel framework for investigating this relationship. The paper first introduces the basic ideas in Deictic Space Theory (DST), illustrating the geometrical elements involved with respect to counterfactual conceptualisations. This framework is then used to explore deontic conceptualisations in relation to epistemic conceptualisations. Following the implications of the geometrical structure logic of DST, epistemic concepts are taken as fundamental and as presupposed in deontic meanings. It is argued that counterfactuality, which can be modelled as a geometrical reflection transformation, is crucial to the modelling of the conceptual space of obligation concepts expressed in English modal verbs. It is further argued that a second-order reflection transformation can model permission concepts. Deontic ‘force’ is modelled in a natural way as force vectors, an already assumed ingredient of DST's geometrical framework. Finally the paper considers ways in which this framework does and does not run counter to existing claims about deontic and epistemic meaning in Cognitive Semantics.