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Abstract
This paper is a modest contribution to a universal logic approach to many-valued semantic systems. The main focus is on the relation between such systems and two-valued ones. The matter is discussed for usual many-valued semantic systems. These turn out to exist for more logics than expected. A new type of many-valued semantics is devised and its use illustrated. The discussion, which involves truth-functionality and the syntactic rendering of truth-values, leads to philosophical conclusions.
Keywords
many-valued semantics, paraconsistency, universal logic

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MLA
Batens, Diderik. “Two, Many, and Differently Many.” The Road to Universal Logic : Festschrift for the 50th Birthday of Jean-Yves Béziau, edited by Arnold Koslow and Arthur Buchsbaum, vol. 2, Birkhäuser, 2015, pp. 213–42, doi:10.1007/978-3-319-15368-1.
APA
Batens, D. (2015). Two, many, and differently many. In A. Koslow & A. Buchsbaum (Eds.), The road to universal logic : Festschrift for the 50th Birthday of Jean-Yves Béziau (Vol. 2, pp. 213–242). https://doi.org/10.1007/978-3-319-15368-1
Chicago author-date
Batens, Diderik. 2015. “Two, Many, and Differently Many.” In The Road to Universal Logic : Festschrift for the 50th Birthday of Jean-Yves Béziau, edited by Arnold Koslow and Arthur Buchsbaum, 2:213–42. Basel: Birkhäuser. https://doi.org/10.1007/978-3-319-15368-1.
Chicago author-date (all authors)
Batens, Diderik. 2015. “Two, Many, and Differently Many.” In The Road to Universal Logic : Festschrift for the 50th Birthday of Jean-Yves Béziau, ed by. Arnold Koslow and Arthur Buchsbaum, 2:213–242. Basel: Birkhäuser. doi:10.1007/978-3-319-15368-1.
Vancouver
1.
Batens D. Two, many, and differently many. In: Koslow A, Buchsbaum A, editors. The road to universal logic : Festschrift for the 50th Birthday of Jean-Yves Béziau. Basel: Birkhäuser; 2015. p. 213–42.
IEEE
[1]
D. Batens, “Two, many, and differently many,” in The road to universal logic : Festschrift for the 50th Birthday of Jean-Yves Béziau, vol. 2, A. Koslow and A. Buchsbaum, Eds. Basel: Birkhäuser, 2015, pp. 213–242.
@incollection{7016118,
  abstract     = {{This paper is a modest contribution to a universal logic approach to many-valued semantic systems. The main focus is on the relation between such systems and two-valued ones. The matter is discussed for usual many-valued semantic systems. These turn out to exist for more logics than expected. A new type of many-valued semantics is devised and its use illustrated. The discussion, which involves truth-functionality and the syntactic rendering of truth-values, leads to philosophical conclusions.}},
  author       = {{Batens, Diderik}},
  booktitle    = {{The road to universal logic : Festschrift for the 50th Birthday of Jean-Yves Béziau}},
  editor       = {{Koslow, Arnold and Buchsbaum, Arthur}},
  isbn         = {{978-3-319-15368-1}},
  keywords     = {{many-valued semantics,paraconsistency,universal logic}},
  language     = {{eng}},
  pages        = {{213--242}},
  publisher    = {{Birkhäuser}},
  series       = {{Studies in Universal Logic}},
  title        = {{Two, many, and differently many}},
  url          = {{http://doi.org/10.1007/978-3-319-15368-1}},
  volume       = {{2}},
  year         = {{2015}},
}

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