Nothing but the Truth

Journal of Philosophical Logic 42 (1):125-135 (2013)
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.
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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References found in this work BETA
A Useful Four-Valued Logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.
Many-Valued Logic.Siegfried Gottwald - 2008 - Stanford Encyclopedia of Philosophy.
Belnap's Four-Valued Logic and De Morgan Lattices.Josep Maria Font - 1997 - Logic Journal of the IGPL 5 (1):1--29.

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Citations of this work BETA
A Gentzen Calculus for Nothing but the Truth.Stefan Wintein & Reinhard Muskens - 2016 - Journal of Philosophical Logic 45 (4):451-465.

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