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 Since the claim 'SAT is NP-complete' is only provably true relative to a chosen encoding scheme, it is a representational artifact rather than an intrinsic mathematical truth about satisfiability.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Standard polynomial-time encodings (binary, decimal) all yield the same complexity classes due to logarithmic inter-reducibility between them.
      ?

      Think about whether this reason is strong or weak

    • 2.NP-completeness is defined relative to the standard computational model; 'reasonable encoding' is built into the definition, not an arbitrary choice.
      ?

      Think about whether this reason is strong or weak

    • 3.Saying results depend on encoding confuses the model of computation with the mathematical structure; the intrinsic property is model-relative from the start.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.NP-completeness proofs require encoding problems as strings; changing the encoding scheme can change which problems are in NP.
      ?

      Think about whether this reason is strong or weak

    • 2.Mathematical truths about abstract satisfiability (solvability) exist independently of any particular symbol system or representation.
      ?

      Think about whether this reason is strong or weak

    • 3.If the same abstract problem yields different complexity classes under different encodings, the complexity property depends on representation, not the problem 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.