Valuations: Bi, Tri, and Tetra

Rohan French, David Ripley

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)


This paper considers some issues to do with valuational presentations of consequence relations, and the Galois connections between spaces of valuations and spaces of consequence relations. Some of what we present is known, and some even well-known; but much is new. The aim is a systematic overview of a range of results applicable to nonreflexive and nontransitive logics, as well as more familiar logics. We conclude by considering some connectives suggested by this approach.

Original languageEnglish
Pages (from-to)1313-1346
Number of pages34
JournalStudia Logica
Issue number6
Publication statusPublished - 2019


  • Valuational semantics
  • Nontransitive logic
  • Nonreflexive logic

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