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    Carmelics

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    Home/Original/inverse
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    Inverse View

    It is not the case that The space of all epistemic types is universal in the sense that every relational model can be mapped in a truth-preserving manner to the space of all types.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    2 perspectives
    Reason for 1 of 2
    ?
    • 1.Harsanyi's type space construction assumes common knowledge of the prior, but this assumption is not derivable from the relational model structure alone.
      ?

      Think about whether this reason is strong or weak

    • 2.A mapping that presupposes what it is meant to ground cannot count as a truth-preserving reduction without circularity.
      ?

      Think about whether this reason is strong or weak

    Reason for 2 of 2
    ?
    • 1.Brandenburger and Keisler (2006) demonstrated that universal type spaces generate self-referential paradoxes when agents can reason about all possible belief hierarchies including their own.
      ?

      Think about whether this reason is strong or weak

    • 2.A space that cannot consistently contain all epistemic types without contradiction cannot be universal in the truth-preserving sense the claim requires.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Each state in a relational model can be sent to a full description of the agents' corresponding first- and higher-order informational attitudes.
      ?

      Think about whether this reason is strong or weak

    • 2.This mapping preserves truth across the relational model.
      ?

      Think about whether this reason is strong or weak

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