Malinowski and Suszko on many-valued logics: on the reduction of many-valuedness to two-valuedness
da Costa, Newton C. A. ; Béziau, Jean-Yves ; Bueno, Otávio A. S.
Mod. Log., Tome 6 (1996) no. 1, p. 272-299 / Harvested from Project Euclid
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We first describe the main features of Malinowski's book Many-Valued Logics: its orientation and its contents. The rest of our paper is devoted to the discussion of its original point, the presentation of Suszko's thesis, and questions directly related to it: What is many-valuedness? Are there only two truth-values? ¶ We analyse and discuss the characterization of many-valuedness and the reduction of many-valuedness to two-valuedness presented by Malinowski. Then we argue against Suszko's thesis, taking examples of paraconsistent logic and of Malinowski's inferential many-valuedness. However, we also present some arguments to reject supplementary truth-values in the case of two topics discussed by Malinowski: modality and partiality.
Publié le : 1996-07-15
Classification:  03B50 
@article{1204835730,
     author = {da Costa, Newton C. A. and B\'eziau, Jean-Yves and Bueno, Ot\'avio A. S.},
     title = {Malinowski and Suszko on many-valued logics: on the reduction of many-valuedness to two-valuedness},
     journal = {Mod. Log.},
     volume = {6},
     number = {1},
     year = {1996},
     pages = { 272-299},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1204835730}
}

da Costa, Newton C. A.; Béziau, Jean-Yves; Bueno, Otávio A. S. Malinowski and Suszko on many-valued logics: on the reduction of many-valuedness to two-valuedness. Mod. Log., Tome 6 (1996) no. 1, pp.  272-299. http://gdmltest.u-ga.fr/item/1204835730/