Skip to content
Carmelics
TopicsThinkersChangesContributorsLoading account…

    Carmelics

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

    Navigate

    • Topics
    • Search
    • Recent Changes
    • Contribute
    • How It Works
    • Glossary
    • Thinkers
    • Contributors
    • About
    • Statistics
    • Terms
    • Privacy

    Database

    Statements
    —
    Perspectives
    —
    Topics
    —

    Press ? for keyboard shortcuts

    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 Resolution's complexity profile is a property of the formalism, not of the underlying logical truths, so the claim conflates proof-system limitations with logical necessity.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Resolution's worst-case exponential lower bounds are invariant across implementations—no reformulation escapes them, suggesting they reflect logical, not accidental, constraints.
      ?

      Think about whether this reason is strong or weak

    • 2.Even if some truths have efficient proofs elsewhere, resolution's hardness reveals genuine structural properties about clause-based reasoning that matter logically.
      ?

      Think about whether this reason is strong or weak

    • 3.Dismissing proof-system limitations as 'merely formalism' risks obscuring real computational barriers that constrain what can be practically known or verified.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Resolution's exponential blowup mirrors SAT solver limitations, not inherent logical difficulty—other proof systems handle same formulas efficiently.
      ?

      Think about whether this reason is strong or weak

    • 2.A logical truth remains valid regardless of proof method; conflating proof length with logical necessity commits a category error between epistemology and metaphysics.
      ?

      Think about whether this reason is strong or weak

    • 3.Pigeonhole principle has short natural deduction proofs but long resolution proofs, showing complexity depends on formalism choice, not the principle itself.
      ?

      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.