Studia Logica

, Volume 88, Issue 3, pp 405-429

Suszko’s Thesis, Inferential Many-valuedness, and the Notion of a Logical System

  • Heinrich WansingAffiliated withInstitute of Philosophy, Dresden University of Technology Email author 
  • , Yaroslav ShramkoAffiliated withDepartment of Philosophy, State Pedagogical University

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According to Suszko’s Thesis, there are but two logical values, true and false. In this paper, R. Suszko’s, G. Malinowski’s, and M. Tsuji’s analyses of logical twovaluedness are critically discussed. Another analysis is presented, which favors a notion of a logical system as encompassing possibly more than one consequence relation.

[A] fundamental problem concerning many-valuedness is to know what it really is.

[13, p. 281]


Suszko’s Thesis inferential many-valuedness many-valued logic bivaluations algebraic values logical truth values.