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The Sources of Unknowability and Self-refutation in Epistemic and Dynamic Epistemic Logic
In this paper, we define a formula $φ$ to be unbelievable if $\Boxφ$ is unsatisfiable, and unknowable if $\Boxφ\landφ$ is unsatisfiable. We then analyze the sources of unknowability and unbelievability in different classes of frames K, KD, KD45, and S5. We first show that any unbelievable formula is
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