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    It is not the case that Feferman's own analysis of predicativity shows that any ordinal recognition procedure relies on prior comprehension principles not internal to the progression.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Feferman's own formal work shows ordinal notations can be inductively defined without external appeals; the progression is mathematically self-contained.
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    • 2.Calling comprehension principles 'external' conflates the metatheory with the object theory; internal coherence doesn't require complete self-sufficiency.
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    • 3.Many ordinal recognition procedures in constructive mathematics succeed through recursive verification, not prior abstract comprehension assumptions.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Feferman's autonomous progression of ordinals requires external criteria to validate each step, which cannot be self-justifying within the system.
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    • 2.Predicative definitions must avoid impredicative circularity, necessitating foundational comprehension principles that transcend the ordinal hierarchy itself.
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    • 3.The very notion of 'recognizing' an ordinal as admissible presupposes conceptual resources not generated by prior stages of the progression.
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