Nothing but the Truth

Journal of Philosophical Logic 42 (1):125-135 (2013)
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.
Keywords Relevant logic  First degree entailment  Belnap’s four-valued logic  De Morgan lattices  In- and overcomplete data
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DOI 10.1007/s10992-011-9215-1
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Siegfried Gottwald, Many-Valued Logic. Stanford Encyclopedia of Philosophy.

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Fred Seymour Michael (2002). Entailment and Bivalence. Journal of Philosophical Logic 31 (4):289-300.

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