The Square of Opposition Interpreted with a Decidable Modal Logic

  • Paul WeingartnerEmail author
Part of the Studies in Universal Logic book series (SUL)


In connection with Aquinas modal interpretation of the square of opposition the paper interprets the 24 syllogistic modes by a decidable modal logic. Those 15 modes which are not making existential presuppositions are theorems of it right away whereas the other 9 modes are theorems when adding the possibility of the antecedent.


Decidable many-valued logic Decidable modal logic Relevant logic Syllogistics 

MSC codes

Primary 03B45; Secondary 03B50 


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Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  1. 1.Department of PhilosophyUniversity of SalzburgSalzburgAustria

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