Year: 2025
Type: article
Abstract: In his 1990 lecture ‘Concepts without boundaries’, Mark Sainsbury presents a system that he calls the polar conception of vague concepts. In this paper, it is demonstrated that the polar conception naturally gives rise to a weaker than classical logic -- namely, a quantum logic characterised by the failure of the law of distribution -- based on the relation of proximity to polar cases. After the quantum account is presented, it is suggested that the rejection of the law of distribution is well motivated in the context of vagueness.
Source: Analysis
Author: Louis Edward James Wall
Institution: University of Oxford
Language: English
Topic: Advanced Algebra and Logic
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,798
OpenAlex ID: W4414794444
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