• Boolean negation and non-conservativity I: Relevant modal logics 

      Øgaard, Tore Fjetland (Journal article; Peer reviewed, 2021)
      Many relevant logics are conservatively extended by Boolean negation. Not all, however. This paper shows an acute form of non-conservativeness, namely that the Boolean-free fragment of the Boolean extension of a relevant ...
    • Confused Entailment 

      Øgaard, Tore Fjetland (Journal article; Peer reviewed, 2022)
      Priest argued in his paper Fusion and Confusion (Priest, 2015a) for a new concept of logical consequence over the relevant logic B, one where premises my be “confused” together. This paper develops Priest’s idea. Whereas ...
    • Farewell to Suppression-Freedom 

      Øgaard, Tore Fjetland (Journal article; Peer reviewed, 2020)
      Val Plumwood and Richard Sylvan argued from their joint paper The Semantics of First Degree Entailment (Routley and Routley in Noûs 6(4):335–359, 1972, https://doi.org/10.2307/2214309) and onward that the variable sharing ...
    • Non-Boolean classical relevant logics II: Classicality through truth-constants 

      Øgaard, Tore Fjetland (Journal article; Peer reviewed, 2021)
      This paper gives an account of Anderson and Belnap's selection criteria for an adequate theory of entailment. The criteria are grouped into three categories: criteria pertaining to modality, those pertaining to relevance, ...