Superplural Logic
Eileen Wagner
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.