On the Logic of Quantifier Variance

Marcus Rossberg
University of Connecticut
Eli Hirsch recently suggested the metaontological doctrine of so-called "quantifier variance", according to which ontological disputes—e.g. concerning the question whether arbitrary, possibly scattered, mereological fusions exist, in the sense that these are recognised as objects proper in our ontology—can be defused as insubstantial. His proposal is that the meaning of the quanti er `there exists' varies in such debates: according to one opponent in this dispute, some existential statement claiming the existence of, e.g., a scattered object is true, according to the other it is not. This paper argues that Hirsch's proposal leads into inconsistency.
Keywords Metaontology  Quantifier Variance  Quantifier Collapse
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