Modern Logic

  • Mod. Log.
  • Volume 6, Number 3 (1996), 272-299.

Malinowski and Suszko on many-valued logics: on the reduction of many-valuedness to two-valuedness

Newton C. A. da Costa, Jean-Yves Béziau, and Otávio A. S. Bueno

Full-text: Open access

Abstract

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.

Article information

Source
Mod. Log., Volume 6, Number 3 (1996), 272-299.

Dates
First available in Project Euclid: 6 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.rml/1204835730

Mathematical Reviews number (MathSciNet)
MR1400618

Zentralblatt MATH identifier
0869.03014

Subjects
Primary: 03B50: Many-valued logic

Citation

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. 6 (1996), no. 3, 272--299. https://projecteuclid.org/euclid.rml/1204835730


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