Logic of Conditional Beliefs Cover Image

Logika przekonań warunkowych
Logic of Conditional Beliefs

Author(s): Zbigniew Tworak
Subject(s): Philosophy
Published by: Uniwersytet Warszawski - Wydział Filozofii i Socjologii, Instytut Filozofii
Keywords: epistemic logic; conditional belief; plausibility relation; knowledge; belief revision; counterfactuals

Summary/Abstract: In this paper I present a simple logic for conditional beliefs in a multi-agent doxastic context (CDL). Conditional beliefs Bi(α/β) encode beliefs in α we would have if we were to learn new information β. The account of this notion is close to the classical theory of belief revision (AGM) and the standard conditional logic, as developed by Stalnaker and Lewis. I give both semantic and axiomatic characterization of conditional beliefs. They are interpreted in terms of plausibility or preference ordering on worlds. I also investigate the relation between notions of belief and knowledge. The logic may be used, for example, for epistemic analysis of some extensive form games.

  • Issue Year: 22/2014
  • Issue No: 2 (86)
  • Page Range: 37-54
  • Page Count: 18
  • Language: Polish