The weak completion semantics and counter examples

Abstract

An experiment has revealed that if the antecedent of a conditional sentence is denied, then most participants conclude that the negation of the consequent holds. However, a significant number of participants answered nothing follows if the antecedent of the conditional sentence was non-necessary. The weak completion semantics correctly models the answers of the majority, but cannot explain the number of nothing follows answers. In this paper we extend the weak completion semantics by counter examples. The extension allows to explain the experimental findings.