Journal of Logic, Language and Information

, Volume 20, Issue 3, pp 397–417

Syllogistic Logic with Comparative Adjectives

Article

DOI: 10.1007/s10849-011-9137-x

Cite this article as:
Moss, L.S. J of Log Lang and Inf (2011) 20: 397. doi:10.1007/s10849-011-9137-x

Abstract

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.

Keywords

Syllogistic logicCompletenessAdjectivesTransitive relations

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA