Predicate Gradual Logic and Linguistics
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.
Keywords
Cite
@article{arxiv.1603.05570,
title = {Predicate Gradual Logic and Linguistics},
author = {Ryuta Arisaka},
journal= {arXiv preprint arXiv:1603.05570},
year = {2016}
}