Journal of Logic, Language and Information

, Volume 20, Issue 3, pp 397-417

First online:

Syllogistic Logic with Comparative Adjectives

  • Lawrence S. MossAffiliated withDepartment of Mathematics, Indiana University Email author 

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This paper adds comparative adjectives to two systems of syllogistic logic. The comparatives are interpreted by transitive and irreflexive relations on the underlying domain. The main point is to obtain sound and complete axiomatizations of the valid formulas in the logics.


Syllogistic logic Completeness Adjectives Transitive relations