Logica Universalis

, Volume 2, Issue 1, pp 3–11

Things That are Right with the Traditional Square of Opposition


DOI: 10.1007/s11787-007-0031-x

Cite this article as:
Parsons, T. Log. univers. (2008) 2: 3. doi:10.1007/s11787-007-0031-x


The truth conditions that Aristotle attributes to the propositions making up the traditional square of opposition have as a consequence that a particular affirmative proposition such as ‘Some A is not B’ is true if there are no Bs. Although a different convention than the modern one, this assumption remained part of centuries of work in logic that was coherent and logically fruitful.

Mathematics Subject Classification (2000).

Primary 03A05 Secondary 01A35 


Square of opposition Aristotelian 

Copyright information

© Birkhaeuser 2008

Authors and Affiliations

  1. 1.Department of PhilosophyUniversity of California at Los AngelesLos AngelesUSA