A Hyperintensional Two-Dimensionalist Solution to the Access Problem

Abstract

I argue that the two-dimensional hyperintensions of epistemic topic-sensitive two-dimensional truthmaker semantics provide a compelling solution to the access problem. I countenance an abstraction principle for epistemic hyperintensions based on Voevodsky's Univalence Axiom and function type equivalence in Homotopy Type Theory. I apply, further, modal rationalism in modal epistemology to solve the access problem. Epistemic possibility and hyperintensionality, i.e. conceivability, can be a guide to metaphysical possibility and hyperintensionality, when (i) epistemic worlds or epistemic hyperintensional states are interpreted as being centered metaphysical worlds or hyperintensional states, i.e. indexed to an agent, when (ii) the epistemic (hyper-)intensions and metaphysical (hyper-)intensions for a sentence coincide, i.e. the hyperintension has the same value irrespective of whether the worlds in the argument of the functions are considered as epistemic or metaphysical, and when (iii) sentences are said to consist in super-rigid expressions, i.e. rigid expressions in all epistemic worlds or states and in all metaphysical worlds or states. I argue that (i) and (ii) obtain in the case of the access problem.

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References found in this work

The character of consciousness.David John Chalmers - 2010 - New York: Oxford University Press.
Does conceivability entail possibility.David J. Chalmers - 2002 - In Tamar Szabo Gendler & John Hawthorne (eds.), Conceivability and Possibility. Oxford University Press. pp. 145--200.
Constructing the World.David John Chalmers (ed.) - 2012 - Oxford: Oxford University Press.
The Foundations of Two-Dimensional Semantics.David J. Chalmers - 2006 - In Manuel Garcia-Carpintero & Josep Macia (eds.), Two-Dimensional Semantics: Foundations and Applications. Oxford University Press. pp. 55-140.
Realism, Mathematics & Modality.Hartry H. Field - 1989 - New York, NY, USA: Blackwell.

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