Logica Universalis

, Volume 10, Issue 2–3, pp 157–170

Disentangling Contradiction from Contrariety via Incompatibility


DOI: 10.1007/s11787-016-0151-2

Cite this article as:
Beziau, JY. Log. Univers. (2016) 10: 157. doi:10.1007/s11787-016-0151-2


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 

Copyright information

© Springer International Publishing 2016

Authors and Affiliations

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

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