Existential Instantiation, Arbitrary Reference and Supposition

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Existential instantiation is a rule of inference that allows us infer, from the proposition that there are some p things, the proposition that a is a p thing. What role does 'a' play here? According to one account, recently defended by Breckenridge and Magidor, we use 'a' to refer to a p thing. I argue that this cannot be right. I propose an alternative account, according to which we use 'a' to refer to a supposedly p thing.
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.van Inwagen, Peter
Arbitrary Reference.Breckenridge, Wylie & Magidor, Ofra
Creatures of Fiction.van Inwagen, Peter

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