Truth and Substitution Quantifiers
Joseph L. Camp · Noûs · 1975
The virtues and vices of substitution interpretations for quantifiers have attracted considerable and richly deserved attention in recent years. My aim in this paper will be to explore one narrow sector of this terrain, motivated by a couple of very thoughtful discussions published by John Wallace. I want to emphasize first that there may be good philosophical reasons for employing, on occasion, a substitution quantifier interpreted in such a way that not all the licensed substituends denote. Perhaps this is not especially controversial, but it is true and important enough to merit review. Then I shall have a look at an argument, or cluster of arguments, due to Wallace that are designed to render interpretations of this kind philosophically suspect.