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    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

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

    It is not the case that P ≠ NP is widely believed to be true

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

    Reasons For

    2 perspectives
    Reason for 1 of 2
    ?
    • 1.Widespread belief among experts does not constitute epistemic justification when the belief is unfalsifiable by current methods.
      ?

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    • 2.Sociological consensus in mathematics has historically persisted for centuries before being overturned (e.g., Euclidean geometry's necessity).
      ?

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    • 3.The absence of polynomial-time algorithms for NP-complete problems is equally consistent with P=NP but with astronomically large constants.
      ?

      Think about whether this reason is strong or weak

    Reason for 2 of 2
    ?
    • 1.Inductive evidence from failed proof attempts presupposes that human mathematical ingenuity has adequately explored the solution space.
      ?

      Think about whether this reason is strong or weak

    • 2.Gödel's incompleteness results establish that some true statements are unprovable, meaning P≠NP may be true but its truth undecidable within standard axiomatic systems.
      ?

      Think about whether this reason is strong or weak

    • 3.Heuristic evidence derived from problem-hardness intuitions is epistemically circular when those intuitions are themselves shaped by assuming P≠NP.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    2 perspectives
    Reason against 1 of 2
    ?
    • 1.There is convergent inductive evidence supporting P ≠ NP
      ?

      Think about whether this reason is strong or weak

    • 2.There is convergent heuristic evidence supporting P ≠ NP
      ?

      Think about whether this reason is strong or weak

    Reason against 2 of 2
    ?
    • 1.Convergent inductive evidence supports P ≠ NP
      ?

      Think about whether this reason is strong or weak

    • 2.Convergent heuristic evidence supports P ≠ NP
      ?

      Think about whether this reason is strong or weak

    Next step

    Based on where you are in your exploration

    Strongest counterpoint
    Explore the most compelling reason on the other side.