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Nothing but the Truth
Authors:Andreas Pietz  Umberto Rivieccio
Affiliation:1. LOGOS-Group, Department of Logic, History and Philosophy of Science, University of Barcelona, C. Montalegre 6-8, Barcelona, 08001, Spain
2. Research Center for Integrated Science, Japan Advanced Institute of Science and Technology, 1-1 Asahidai, Nomi, Ishikawa, 923-1292, Japan
Abstract:A curious feature of Belnap’s “useful four-valued logic”, also known as first-degree entailment (FDE), is that the overdetermined value B (both true and false) is treated as a designated value. Although there are good theoretical reasons for this, it seems prima facie more plausible to have only one of the four values designated, namely T (exactly true). This paper follows this route and investigates the resulting logic, which we call Exactly True Logic.
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