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 Hellman's modal structuralism shows set-theoretic truths express possibilities about structural relations, not truths about independently existing abstract objects.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Modal structuralism must explain what grounds possibility claims if not actual abstract structures themselves.
      ?

      Think about whether this reason is strong or weak

    • 2.Set-theoretic theorems prove specific facts (e.g., Cantor's diagonal argument), not merely structural possibilities.
      ?

      Think about whether this reason is strong or weak

    • 3.Rejecting abstract objects leaves unclear how modal claims escape being arbitrary stipulations about 'possibilities'.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Modal structuralism avoids the epistemological problem of how we access causally inert abstract objects.
      ?

      Think about whether this reason is strong or weak

    • 2.Set theory's applicability to physical structures suggests it describes possibilities, not independent entities.
      ?

      Think about whether this reason is strong or weak

    • 3.Modal language ('could be', 'necessarily') better captures what mathematicians actually express than realism.
      ?

      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.