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Quasi-Truth, Supervaluations and Free Logic

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Abstract:

The partial structures approach has two major components: a broad notion of structure (partial structure) and a weak notion of truth (quasi-truth). In this paper, we discuss the relationship between this approach and free logic. We also compare the model-theoretic analysis supplied by partial structures with the method of supervaluations, which was initially introduced as a technique to provide a semantic analysis of free logic. We then combine the three formal frameworks (partial structures, free logic and supervaluations), and apply the resulting approach to accommodate semantic paradoxes.

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/01445349950044152

Affiliations: 1: Department of Philosophy, University of Sao Paulo, P.O. Box 8105, Sao Paulo-SP 05508-900, Brazil; 2: Department of Philosophy, California State University, Fresno, Fresno, CA 93740-0105, USA;

Publication date: October 1, 1999

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