
Two, many, and differently many
- Author
- Diderik Batens (UGent)
- Organization
- 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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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-7016118
- 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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