Forms of Luminosity: Epistemic Modality, Mind, and Mathematics

Gutenberg (2017)

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Abstract
This book concerns the foundations of epistemic modality. I examine the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The book demonstrates how phenomenal consciousness and gradational possible-worlds models in Bayesian perceptual psychology relate to epistemic modal space. The book demonstrates, then, how epistemic modality relates to the computational theory of mind; metaphysical modality; deontic modality; logical modality; the types of mathematical modality; to the epistemic status of undecidable propositions and abstraction principles in the philosophy of mathematics; to the apriori-aposteriori distinction; to the modal profile of rational propositional intuition; and to the types of intention, when the latter is interpreted as a modal mental state. Examining the nature of epistemic logic itself, I develop a novel approach to conditions of self-knowledge in the setting of the modal μ-calculus, as well as novel epistemicist solutions to Curry's, the liar, and the knowability paradoxes. Solutions to the Julius Caesar Problem, and to previously intransigent issues concerning the first-person concept, the distinction between fundamental and derivative truths, and the unity of intention and its role in decision theory, are developed along the way.
Keywords Neo-Logicism  Cognitivism  Grounding  Consciousness  Epistemic Logic  Mathematical Modality
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References found in this work BETA

Writing the Book of the World.Theodore Sider - 2011 - Oxford University Press.
Causality.Judea Pearl - 2009 - Cambridge University Press.
Origins of Objectivity.Tyler Burge - 2010 - Oxford University Press.
Nature’s Metaphysics.Alexander Bird - 2007 - Oxford University Press.
The Varieties of Reference.Gareth Evans - 1982 - Oxford University Press.

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