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Non-Transitive Self-Knowledge: Luminosity via Modal $\mu$-Automata

By Khudairi, Hasen

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Book Id: WPLBN0100003140
Format Type: PDF (eBook)
File Size: 108.43 KB.
Reproduction Date: 9/2/2018

Title: Non-Transitive Self-Knowledge: Luminosity via Modal $\mu$-Automata  
Author: Khudairi, Hasen
Volume:
Language: English
Subject: Non Fiction, Philosophy
Collections: Authors Community, Philosophy
Historic
Publication Date:
2018
Publisher: Gutenberg
Member Page: Hasen Khudairi

Description
This essay provides a novel account of iterated epistemic states. The essay argues that states of epistemic determinacy might be secured by countenancing self-knowledge on the model of fixed points in monadic second-order modal logic, i.e. the modal $\mu$-calculus. Despite the epistemic indeterminacy witnessed by the invalidation of modal axiom 4 in the sorites paradox -- i.e. the KK principle: $\square$$\phi$ $\rightarrow$ $\square$$\square$$\phi$ -- an epistemic interpretatation of the Kripke functors of a $\mu$-automaton permits the iterations of the transition functions to entrain a principled means by which to account for necessary conditions on self-knowledge.

 

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