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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Original/inverse
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    Inverse View

    It is not the case that An indifference relation over {w_pq, w_qr, w_pr} can only generate issues whose possibilities are unions of equivalence classes, excluding non-transitive dependency structures.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Indifference relations can be partial rather than total; sub-relations on {w_pq, w_qr, w_pr} may generate issues through non-equivalence pairings.
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    • 2.Dependencies need not be transitive to constrain issues; non-transitive constraints can still create valid logical restrictions on possibility unions.
      ?

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    • 3.The claim conflates indifference *over* a set with indifference *within* each element; these generate different issue-possibility structures.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Indifference relations are by definition transitive, reflexive, and symmetric, so they partition any domain into equivalence classes by logical necessity.
      ?

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    • 2.Issues generated from equivalence classes must respect class boundaries; mixing elements across classes violates the indifference relation's defining structure.
      ?

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    • 3.Non-transitive dependencies introduce external structure incompatible with indifference partitions, creating logical inconsistency in possibility generation.
      ?

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