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Kapsner, Andreas (23. August 2019): Removing the Oddity in First Degree Entailment. In: Thought: A Journal of Philosophy: pp. 1-10
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Abstract

I discuss an old problem with first degree entailment (FDE), namely the unintuitive way disjunctions and conjunctions between statements with values B and N are defined. I supply a solution tothis problem that involves a modification of FDE that leaves the philosophical motivation for the logic unharmed. Furthermore, I argue that this modification allows us to incorporate the philosophical core idea of exactly true logic without leading to the unusual inferential behavior of that logic.