Game semantics and vagueness in natural language

Abstract

We take up the challenge to define a procedure to systematically evaluate natural language statements involving vagueness, as is the case for “About half days are nice.”, which is quantified with a vague proportional quantifier and applied to a vague predicate in the scope. Our approach is embedded into an analytic game semantic framework, which extends Giles’s game for Lukasiewicz logic by means of a randomization operator and the Baaz-Delta operator.