A Puzzle about Restricted Recombination in Modal Realism

In Paolo Valore (ed.), Topics on General and Formal Ontology. Polimetrica. pp. 281 (2006)
Abstract
This paper addresses a specific issue inherent to David Lewis’s conception of possible worlds, namely whether or not they are liable to being limited in size. The paper purports to show that, if a certain argument against unlimited worlds’ size is valid, then the way of countering it by means of positing an upper limit to size (as Lewis himself and John Divers have suggested) leads to a troublesome distortion of some modal phenomena, such as de re ascriptions of properties. Even if somewhat disagreeing with Lewis’s favoured solution of the topic at issue, it must be remarked that what follows should not be intended neither as a defence nor as an attack on Lewis’ overall modal ontology.
Keywords possible worlds  David Lewis  counting possibilia  extreme modal realism
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