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Aspect in Ancient Greek - Nijmegen Centre for Semantics

Aspect in Ancient Greek - Nijmegen Centre for Semantics

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174 Chapter 8. Conclusions and discussionthe tragic aorist as the use found <strong>in</strong> per<strong>for</strong>matives and adopt the semantics oftense and aspect that I propose, this use of the aorist is readily understood.Mov<strong>in</strong>g beyond the level of the sentence I showed that the analysis alsoaccounts <strong>for</strong> the way <strong>in</strong> which aspect choice <strong>in</strong>fluences the temporal structureof discourse. To expla<strong>in</strong> the observed common temporal patterns, the proposedsemantics of aspect was complemented with a specification of how the topictime of a clause is determ<strong>in</strong>ed <strong>in</strong> a discourse. This was achieved by treat<strong>in</strong>gthe topic time as an anaphor and specify<strong>in</strong>g its default b<strong>in</strong>d<strong>in</strong>g rules. Thisalso provided an explanation <strong>for</strong> the immediative use of imperfective aspect.Furthermore, the anaphoric nature of the topic time ensured the degree offlexibility required to allow <strong>for</strong> deviations from the common patterns under the<strong>in</strong>fluence of particles, world knowledge, etc. Moreover, I have shown how thevariation <strong>in</strong> <strong>in</strong>terpretation of the aorist and the imperfective and the temporalstructure of discourse are two sides of the same co<strong>in</strong>, s<strong>in</strong>ce the two features ofaspect <strong>in</strong>terpretation crucially depend on each other.I <strong>for</strong>malised my analysis <strong>in</strong> a <strong>for</strong>m of Discourse Representation Theory withlambdas, a fusion of two important frameworks <strong>for</strong> natural language semantics:DRT and Montague <strong>Semantics</strong>. The choice <strong>for</strong> DRT was determ<strong>in</strong>ed bythe need to deal with <strong>in</strong>tersentential anaphora (<strong>in</strong> the <strong>for</strong>m of an anaphorictopic time), <strong>for</strong> which DRT is the natural option. I supplemented this frameworkwith mechanisms from the lambda calculus <strong>in</strong> order to explicate how themean<strong>in</strong>gs of the various constituents of a sentence determ<strong>in</strong>e the mean<strong>in</strong>g ofthe sentence as a whole. The comb<strong>in</strong>ation of these two frameworks was ideal<strong>for</strong> show<strong>in</strong>g how the broad range of phenomena concern<strong>in</strong>g aspect <strong>in</strong>terpretation<strong>in</strong> <strong>Ancient</strong> <strong>Greek</strong> can be expla<strong>in</strong>ed on the basis of a simple semantics <strong>for</strong>aorist and imperfective.In this study of aspect <strong>in</strong> <strong>Ancient</strong> <strong>Greek</strong>, we came across a variety ofissues that are at the heart of philosophy of language and <strong>for</strong>mal semantics/pragmatics:competition between <strong>for</strong>ms, the <strong>in</strong>tricate <strong>in</strong>teractions betweenl<strong>in</strong>guistic and extral<strong>in</strong>guistic knowledge, compositionality, re<strong>in</strong>terpretation, cooperativitybetween speaker and hearer, the <strong>in</strong>extricable connections betweensentence and discourse <strong>in</strong>terpretation, and per<strong>for</strong>mativity, just to mention afew. In this way, I hope that the contributions of this thesis are not restrictedto the specific question it addresses, but that it also shows how fruitful it is tocomb<strong>in</strong>e <strong>in</strong>sights from <strong>Ancient</strong> <strong>Greek</strong> l<strong>in</strong>guistics and <strong>for</strong>mal semantics.8.2 Future researchIn the course of this study I have come across a number of issues that deservecloser attention than they could be given here. In this section I collect someof them and <strong>for</strong>mulate them as po<strong>in</strong>ters to future research.The first one concerns the puzzl<strong>in</strong>g use of the imperfective, described <strong>in</strong> sec-

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