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    Carmelics

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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 The inference from 'separately warranted' to 'jointly consistent' is precisely what Russell's paradox showed to be illegitimate in set theory.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Russell's paradox reveals a *domain-specific* failure in naive set theory, not a universal principle about inference from warranted to consistent premises.
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    • 2.Many mathematical systems (ZFC, Peano arithmetic) have separately justified axioms that remain jointly consistent, showing the inference can succeed.
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    • 3.The lesson may be that we need *better warrant criteria*, not that separate warrant is inherently insufficient for joint consistency.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Russell's paradox shows that properties like 'self-membership' can be individually coherent yet collectively generate contradiction when combined.
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      Think about whether this reason is strong or weak

    • 2.Individual warrant for set axioms (comprehension principle) proved insufficient to guarantee the joint consistency of the overall system.
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    • 3.This demonstrates a general principle: separate justification of component premises provides no guarantee against collective inconsistency.
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