The Problem of Logical Omniscience: An Alternative to Non-normal Worlds Cover Image

Problem wszechwiedzy logicznej. Krytyka światów nienormalnych i propozycja nowego rozwiązania
The Problem of Logical Omniscience: An Alternative to Non-normal Worlds

Author(s): Mateusz Klonowski, Krzysztof Krawczyk
Subject(s): Philosophy, Logic
Published by: Uniwersytet Warszawski - Wydział Filozofii i Socjologii, Instytut Filozofii
Keywords: epistemic logic; modal logic; positional logic; Rantala models; non-normal possible worlds; Łoś operator; moderately rational agent; problem of logical omniscience

Summary/Abstract: In this paper, we bring up the problem of logical omniscience in epistemic logic. One way ofavoiding the problem is through Rantala models, where non-normal worlds are introduced. Suchmodels are vulnerable to criticism, as we show. One of many issues that occur is the Bjerring result,which states that incorporating non-normal worlds makes the agent logically incompetent. For this reason, we propose a different solution based on positional logics.

  • Issue Year: 27/2019
  • Issue No: 1 (105)
  • Page Range: 27-48
  • Page Count: 22
  • Language: Polish