Non‐Standard Neutral Free Logic, Empty Names and Negative Existentials

Abstract
In this paper I am concerned with an analysis of negative existential sentences that contain proper names only by using negative or neutral free logic. I will compare different versions of neutral free logic with the standard system of negative free logic (Burge, Sainsbury) and aim to defend my version of neutral free logic that I have labeled non-standard neutral free logic.
Keywords Empty Names  Negative Existentials  Free Logic
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R. M. Sainsbury (1999). Names, Fictional Names, and 'Really': R.M. Sainsbury. Aristotelian Society Supplementary Volume 73 (1):243–269.
Gilbert Plumer (1989). Mustn't Whatever is Referred to Exist? Southern Journal of Philosophy 27 (4):511-528.
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