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# A Modal Logic for Gödelian Intuition

## By Khudairi, Hasen

Book Id: WPLBN0100003194
Format Type: PDF (eBook)
File Size: 153.28 KB.
Reproduction Date: 9/22/2018

 Title: A Modal Logic for Gödelian Intuition Author: Khudairi, Hasen Volume: Language: English Subject: Collections: Historic Publication Date: 2018 Publisher: Self-published Member Page: Hasen Khudairi Citation APA MLA Chicago Khudairi, H. (2018). A Modal Logic for Gödelian Intuition. Retrieved from http://www.self.gutenberg.org/

Description
This essay aims to provide a modal logic for rational intuition. Similarly to treatments of the property of knowledge in epistemic logic, I argue that rational intuition can be codified by a modal operator governed by the axioms of a dynamic provability logic, which embeds GL within the modal $\mu$-calculus. Via correspondence results between modal logic and first-order logic, a precise translation can then be provided between the notion of 'intuition-of', i.e., the cognitive phenomenal properties of thoughts, and the modal operators regimenting the notion of 'intuition-that'. I argue that intuition-that can further be shown to entrain conceptual elucidation, by way of figuring as a dynamic-interpretational modality which induces the reinterpretation of both domains of quantification and the intensions of mathematical concepts that are formalizable in monadic first- and second-order formal languages.

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