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 If the intended structure M is apprehended through a conceptually prior informal understanding, invoking M is not question-begging but rather an appeal to the evidential basis that motivated the axioms in the first place.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.The distinction between informal understanding and formal axioms is unclear enough to mask potential circularity in practice.
      ?

      Think about whether this reason is strong or weak

    • 2.Claiming M is 'apprehended' informally presupposes the very conceptual apparatus that formal axioms are meant to establish rigorously.
      ?

      Think about whether this reason is strong or weak

    • 3.If evidence motivated the axioms, invoking M risks double-counting that evidence rather than independently justifying the framework.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Informal understanding can provide genuine epistemic justification prior to formal axiomatization without circularity.
      ?

      Think about whether this reason is strong or weak

    • 2.Appealing to the motivating evidence for axioms differs logically from assuming the axioms themselves in argument.
      ?

      Think about whether this reason is strong or weak

    • 3.Mathematical structures often have pre-formal intuitive content that grounds rather than depends on formal systems.
      ?

      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.