Logica Universalis

, Volume 10, Issue 2–3, pp 157–170 | Cite as

Disentangling Contradiction from Contrariety via Incompatibility

  • Jean-Yves BeziauEmail author


Contradiction is often confused with contrariety. We propose to disentangle contrariety from contradiction using the hexagon of opposition, providing a clear and distinct characterization of three notions: contrariety, contradiction, incompatibility. At the same time, this hexagonal structure describes and explains the relations between them.

Mathematics Subject Classification

Primary 03A05 Secondary 03B22 03B65 


Hexagon of opposition square of opposition contradiction contrariety incompatibility 


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Copyright information

© Springer International Publishing 2016

Authors and Affiliations

  1. 1.CNPq, Brazilian Research CouncilUFRJ, University of BrazilRio de JaneiroBrazil

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