On the basis of cross-linguistic data from both genetically and geographically related and unrelated languages,
in this article we argue that the linguistic phenomena usually referred to as the avertive, the frustrative and the apprehensional
belong not to three but to five – semantically related, and yet distinct grammatical categories, all of which involve different
degrees of non-realization of the verb situation in the area of Tense-Aspect-Mood: apprehensional, avertive, frustrated
initiation, frustrated completion, inconsequential. Our major goal here is to account for these grammatical categories in terms of
an adequate model of linguistic categorization. For this purpose, we apply the notion of Intersective Gradience (introduced for
the first time in the morphosyntactic domain in Aarts (2004, 2007) to the morphosemantic domain. Thus the present approach reconciles two major approaches to
linguistic categorization: (i) the classical, Aristotelian approach and (ii) a more recent, gradience/fuzziness approach.
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