How to Lewis a Kripke-Hintikka

Synthese 190 (4):743-779 (2013)
Abstract
It has been argued that a combination of game-theoretic semantics and independence-friendly (IF) languages can provide a novel approach to the conceptual foundations of mathematics and the sciences. I introduce and motivate an IF first-order modal language endowed with a game-theoretic semantics of perfect information. The resulting interpretive independence-friendly logic (IIF) allows to formulate some basic model-theoretic notions that are inexpressible in the ordinary quantified modal logic. Moreover, I argue that some key concepts of Kripke’s new theory of reference are adequately modeled within IIF. Finally, I compare the logic IIF to David Lewis' counterpart theory, drawing some morals concerning the interrelation between metaphysical and semantic issues in possible-world semantics.
Keywords Independence-friendly logic  Game-theoretic semantics  Counterpart theory  Rigidity  Possible-world semantics  Essentialism
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    Jussi Haukioja (2006). Proto-Rigidity. Synthese 150 (2):155 - 169.

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