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arXiv · 1603.05570

Predicate Gradual Logic and Linguistics

Ryuta Arisaka
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Abstract

There are several major proposals for treating donkey anaphora such as discourse representation theory and the likes, or E-Type theories and the likes. Every one of them works well for a set of specific examples that they use to demonstrate validity of their approaches. As I show in this paper, however, they are not very generalisable and do not account for essentially the same problem that they remedy when it manifests in other examples. I propose another logical approach. I develoop logic that extends a recent, propositional gradual logic, and show that it can treat donkey anaphora generally. I also identify and address a problem around the modern convention on existential import. Furthermore, I show that Aristotle's syllogisms and conversion are realisable in this logic.

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Ryuta Arisaka. 2016-03-17. Predicate Gradual Logic and Linguistics. https://arxiv.org/abs/1603.05570

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