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Unawareness with �possible� possible worlds

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  • Oliver Walker

Abstract

Logical structures for modeling agents� reasoning about unawareness are presented where it can hold simultaneously that: (i) agents� beliefs about whether they are fully aware need not be veracious with partitional information; and (ii) the agent is fully aware if and only if she is aware of a fixed domain of formulae. In light of (ii), all states are deemed �possible�. Semantics operate in two stages, with belief in the second stage determined by truth in the first stage. Characterization theorems show that, without the first stage, the structures validate the same conditions as those of Halpern and Rego (2009a).

Suggested Citation

  • Oliver Walker, 2011. "Unawareness with �possible� possible worlds," GRI Working Papers 69, Grantham Research Institute on Climate Change and the Environment.
    • Handle: RePEc:lsg:lsgwps:wp69
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    References listed on IDEAS

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    Cited by:

    1. Halpern, Joseph Y. & Rêgo, Leandro C., 2013. "Reasoning about knowledge of unawareness revisited," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 73-84.

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