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
    Home/Original/inverse
    See Original
    Inverse View

    It is not the case that A genuine ordinal number must occupy the same ontological category as the ordinals it orders, which NFU's stratification systematically prevents.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Ordinals needn't be in the same ontological category as ordered items—a ruler (different category) orders lengths successfully.
      ?

      Think about whether this reason is strong or weak

    • 2.Stratification is a feature preventing paradox, not a flaw. Type distinctions allow NFU to be consistent where naive set theory fails.
      ?

      Think about whether this reason is strong or weak

    • 3.The claim conflates 'genuine ordinal' with 'metaphysically simple ordinal'—NFU's ordinals function adequately despite stratification.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Ordering relations typically hold between entities of the same type (e.g., numbers order numbers, not apples).
      ?

      Think about whether this reason is strong or weak

    • 2.NFU's stratification creates type hierarchies where ordinals inhabit different levels than their elements, violating type uniformity.
      ?

      Think about whether this reason is strong or weak

    • 3.A number that orders itself must share the same categorical status as itself—stratification prevents this reflexive identity.
      ?

      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.
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42