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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that Brandenburger and Keisler (2006) demonstrated that unrestricted type space construction leads to self-referential inconsistency, undermining claims of mutual non-bisimilarity.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Many formal systems (set theory, category theory) accommodate self-reference through stratification without collapsing into inconsistency.
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    • 2.Brandenburger-Keisler applies to specific type-space constructions; restricted frameworks or non-classical logics may avoid their contradiction entirely.
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    • 3.The conclusion conflates logical inconsistency with pragmatic limits on mutual knowledge; bisimilarity can fail for reasons other than paradox.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Self-referential inconsistencies in type spaces create logical contradictions that cannot be resolved within standard first-order frameworks.
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    • 2.Unrestricted type construction allows agents to model beliefs about their own beliefs infinitely, generating paradoxes analogous to the liar's sentence.
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    • 3.Bisimilarity requires consistent epistemic foundations; circular type definitions undermine the modal equivalence necessary for meaningful comparisons.
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