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    Epistemic consensus about complexity separations lacks th... — Carmelics
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    Challenges→PH is expected to lack complete problems, unlike PSPACE

    Epistemic consensus about complexity separations lacks the deductive warrant required to ground modal claims about mathematical structure.

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    1 reason for
    1 reason against

    Reasons For

    1 perspective
    Reason for
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    • 1.Consensus about P vs NP remains unproven after 50+ years despite intense effort, suggesting empirical agreement alone cannot establish necessity.
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    • 2.Modal claims (about what must or could be true) require logical necessity, not statistical agreement among expert opinion.
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    • 3.Mathematical structures exist mind-independently; their properties cannot be grounded in human epistemic states or collective beliefs.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Consensus reflects convergence on strong evidence and rigorous partial results, which provides rational warrant even without complete deduction.
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    • 2.Modal facts about mathematical structures may themselves be epistemically dependent; knowing what's necessary requires reliable epistemic access.
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    • 3.Distinguishing 'grounding' from 'justification' is problematic—consensus can justify modal claims even if it doesn't metaphysically ground them.
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    Modality & Possibility1 linkedSkepticism1 linked

    Related

    Consensus about P vs NP remains unproven after 50+ years despite intense effort,...Consensus reflects convergence on strong evidence and rigorous partial results, ...Distinguishing 'grounding' from 'justification' is problematic—consensus can jus...Mathematical structures exist mind-independently; their properties cannot be gro...
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    Modal claims (about what must or could be true) require logical necessity, not s...Modal facts about mathematical structures may themselves be epistemically depend...PH is expected to lack complete problems, unlike PSPACE

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    claim
    Perspectives
    2 (1 for, 1 against)
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