MoL-2015-23: Superplural Logic

MoL-2015-23: Wagner, Eileen (2015) Superplural Logic. [Report]

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Abstract

Plural logic adds to singular logic plural variables and a two-place connective ‘is/are among’, written ‘ ’. Superplural logic adds to plural logic higher-level variables and higher-level two-place connectives ‘are among’, written ‘ n’. This thesis examines the linguistic, logical, and philosophical status of superplural logic. I begin by asking whether the idea of a superplural logic is intelligible at all, and whether superplurals occur in natural language. In doing so, I develop a conception of superplural logic and defend it against possible objections. I then construct a formal logic that corresponds to this conception. The discussion closes with an evaluation of the philosophical relevance of superplural logic, especially with regard to its proclaimed ontological innocence. I conclude that superplural logic is a viable alternative to existing theories and should be acknowlegded and used by linguists and philosophers alike.

Item Type: Report
Report Nr: MoL-2015-23
Series Name: Master of Logic Thesis (MoL) Series
Year: 2015
Uncontrolled Keywords: logic, philosophy
Subjects: Logic
Date Deposited: 12 Oct 2016 14:38
Last Modified: 12 Oct 2016 14:38
URI: https://eprints.illc.uva.nl/id/eprint/964

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