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 Frege's logicist program shows number-names are not descriptive composites but logical objects fixed by abstraction principles independent of convention.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Abstraction principles like Hume's principle require a prior grasp of cardinality to be non-circular, undermining their foundational role.
      ?

      Think about whether this reason is strong or weak

    • 2.The selection of which abstraction principle to adopt (Basic Law V vs. alternatives) appears conventional, not logically determined.
      ?

      Think about whether this reason is strong or weak

    • 3.Logical objects without empirical instantiation face the epistemological problem of how we access their properties at all.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Abstraction principles like Hume's principle derive numbers from logical relations without presupposing what numbers are.
      ?

      Think about whether this reason is strong or weak

    • 2.Number-names refer to abstract objects whose identity conditions are entirely determined by equivalence relations, not convention.
      ?

      Think about whether this reason is strong or weak

    • 3.If numbers were descriptive composites, their properties would depend on contingent descriptions rather than necessary logical structure.
      ?

      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.