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 The Liar paradox arises from unrestricted self-reference, not from defining truth in arithmetic per se.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Self-reference alone is harmless; 'this sentence has five words' refers to itself without paradox.
      ?

      Think about whether this reason is strong or weak

    • 2.The paradox fundamentally depends on what 'true' means—different truth definitions yield different conclusions about the Liar.
      ?

      Think about whether this reason is strong or weak

    • 3.Even with unrestricted self-reference, systems avoid paradox if truth is defined via hierarchical levels (Tarski's solution).
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Self-referential sentences like 'this sentence is false' create paradox regardless of the truth definition used.
      ?

      Think about whether this reason is strong or weak

    • 2.Formal systems with restricted self-reference (like Peano arithmetic) remain consistent without truth predicate issues.
      ?

      Think about whether this reason is strong or weak

    • 3.The paradox persists across natural language and formal systems, suggesting self-reference is the root cause, not truth definitions.
      ?

      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.