Mind 122 (485):27-42 (2013)
AbstractFara and Williamson (Mind, 2005) argue that counterpart theory is unable to account for modal claims that use an actuality operator. This paper argues otherwise. Rather than provide a different counterpart translation of the actuality operator itself, the solution presented here starts out with a quantified modal logic in which the actuality operator is redundant, and then translates the sentences of this logic into claims of counterpart theory.
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Counterpart Theory and Quantified Modal Logic.David K. Lewis - 1968 - Journal of Philosophy 65 (5):113-126.
Necessary Existents.Timothy Williamson - 2002 - In A. O'Hear (ed.), Logic, thought, and language. Cambridge University Press. pp. 233-251.
In Defense of the Simplest Quantified Modal Logic.Bernard Linsky & Edward N. Zalta - 1994 - Philosophical Perspectives 8:431-458.