How many notions of necessity?

Philosophical Studies 165 (2):605-627 (2013)
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Abstract

Evans distinguishes between superficial necessity and deep necessity in his analysis of the contingent a priori. The distinction between these two notions of necessity is formalized by Davies and Humberstone through the addition of the operator Fixedly to Actuality Modal Logic (AML, S5A), where deep necessity is represented by the combination Fixedly Actually. Wehmeier’s Subjunctive Modal Logic (SML) provides an extension of the expressive capacity of ordinary modal predicate logic alternative to AML. I add Fixedly to SML and show that in the system SML with Fixedly the distinction between deep and superficial necessity disappears. I conclude that the existence of the distinction between deep and superficial necessity, as well as the existence of the contingent a priori, cannot be asserted independently of the choice of background logic

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References found in this work

Naming and Necessity: Lectures Given to the Princeton University Philosophy Colloquium.Saul A. Kripke - 1980 - Cambridge, MA: Harvard University Press. Edited by Darragh Byrne & Max Kölbel.
Naming and necessity.Saul A. Kripke - 2010 - In Darragh Byrne & Max Kölbel (eds.), Arguing about language. New York: Routledge. pp. 431-433.
Naming and Necessity.S. Kripke - 1972 - Tijdschrift Voor Filosofie 45 (4):665-666.
Naming and Necessity.Saul Kripke - 2003 - In John Heil (ed.), Philosophy of Mind: A Guide and Anthology. Oxford University Press.
The metaphysics of modality.Graeme Forbes - 1985 - Oxford: Clarendon Press.

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