David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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Erkenntnis 70 (2):135 - 150 (2009)
It is known that indicative and subjunctive conditionals interact differently with a rigidifying "actually" operator. The paper studies this difference in an abstract setting. It does not assume the framework of possible world semantics, characterizing "actually" instead by the type of logically valid formulas to which it gives rise. It is proved that in a language with such features all sentential contexts that are congruential (in the sense that they preserve logical equivalence) are extensional (in the sense that they preserve material equivalence). For a subjunctive conditional, the natural conclusion to draw is that it is non-congruential. It is much harder to defend the claim that an indicative conditional is non-congruential. The pressure to treat the indicative conditional as truth-functional is correspondingly greater. The implications of these results for attempts to interpret the indicative conditional as an epistemic or doxastic operator are assessed
|Keywords||Philosophy Philosophy Epistemology Ontology Ethics Logic|
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References found in this work BETA
Timothy Williamson (2007). The Philosophy of Philosophy. Blackwell Pub..
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Citations of this work BETA
Kai Wehmeier (2012). Subjunctivity and Cross-World Predication. Philosophical Studies 159 (1):107-122.
Adam Rieger (2013). Conditionals Are Material: The Positive Arguments. Synthese 190 (15):3161-3174.
Lloyd Humberstone (2013). Replacement in Logic. Journal of Philosophical Logic 42 (1):49-89.
Fredrik Haraldsen (2015). On What Actually Is. Erkenntnis 80 (3):643-656.
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Frank Jackson (ed.) (1991). Conditionals. Oxford University Press.
Timothy Williamson (2006). Indicative Versus Subjunctive Conditionals, Congruential Versus Non-Hyperintensional Contexts. Philosophical Issues 16 (1):310–333.
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