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Algebraic Metaphysical Semantics

By Khudairi, Hasen

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Book Id: WPLBN0100003133
Format Type: PDF (eBook)
File Size: 156.01 KB
Reproduction Date: 9/2/2018

Title: Algebraic Metaphysical Semantics  
Author: Khudairi, Hasen
Language: English
Subject: Non Fiction, Philosophy
Collections: Authors Community, Philosophy
Publication Date:
Publisher: Gutenberg
Member Page: Hasen Khudairi


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Khudairi, H. (2018). Algebraic Metaphysical Semantics. Retrieved from

This paper argues that metaphysically fundamental truths ought to be defined within an algebraic language. In the first part of the paper, I provide examples of the algebraic structures used to define models of physical ontology (namely, quantum mechanics and field theory); the mathematical universe (set-theory); modal logic; and the metaphysics of consciousness. I outline, then, some explanatory desiderata concerning the relation between fundamental and derivative truths. I argue that a relation of apriori material implication, i.e. 'scrutability', cannot satisfy the relevant desiderata; and I propose in turn that -- given the model-theoretic uniformity between fundamental modal truths and the derivative truths concerning mental representational states -- a novel derivability relation can be specified. The relation is unique in having a purely model-theoretic characterization, and I examine the epistemic advantages accruing to the relation's model-theoretic profile.


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