Defining Knowledge in Terms of Belief: the Modal Logic Perspective

@article{Halpern2009DefiningKI,
  title={Defining Knowledge in Terms of Belief: the Modal Logic Perspective},
  author={Joseph Y. Halpern and Dov Samet and Ella Segev},
  journal={Rev. Symb. Log.},
  year={2009},
  volume={2},
  pages={469-487}
}
The question of whether knowledge is definable in terms of belief, which has played an important role in epistemology for the last 50 years, is studied here in the framework of epis- temic and doxastic logics. Three notions of definability are considered: explicit definability, implicit definability, and reducibility, where explicit definability is equivalent to the combination of implicit definability and reducibility. It is shown that if knowledge satisfies any set of axioms contained in S5… CONTINUE READING

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