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
    Russell's paradox demonstrates that unrestricted self-ref... — Carmelics
    Home/Philosophy of Language
    HistoryEditSee Inverse

    Part of a larger discussion

    Supports→There is a general limit to the extent to which a formal system can verify statements about itself from within that system.

    Russell's paradox demonstrates that unrestricted self-referential set formation leads to inadmissible objects in set theory.

    Philosophy of LanguageTruth & Knowledge
    ?Rate how convincing each reason is below to see the overall strength.

    No one has weighed in yet. Be the first to share reasons for or against this statement.

    Sign in or register to share your perspective on this statement.

    Topics

    Philosophy of LanguageTruth & Knowledge

    Connections

    1 topic

    Modality & Possibility1 linked

    Related

    Next step

    Based on where you are in your exploration

    Browse more in Philosophy of Language
    Related propositions within the same area of thought.
    The Liar paradox demonstrates that self-referential statements about all members...There is a general limit to the extent to which a formal system can verify state...

    Similar

    The Liar paradox demonstrates that self-referential statements about a...84%Russell's paradox showed that a set R could both be and not be a membe...83%Russell's paradox revealed a contradiction in early set theory81%Therefore, no sentence of the object language can say of itself that i...80%

    Source

    AI-extracted
    SEP: information
    View source passageHide passage
    Any person who is not Cretan can state that all Cretans always lie. For a Cretan this is not possible because of the universal negative self-referential nature of the statement. If the statement is true, he is not lying which makes the statement untrue: a real paradox based on self contradiction. Along the same lines Russel coined the concept of the set of all sets that are not member of themselves, for which membership cannot be determined. Apparently the set of all sets is an inadmissible obje

    Details

    Type
    premise
    Perspectives
    0 (0 for, 0 against)
    Edits
    1 edit

    Open for perspectives

    This idea is waiting for its first supporting or challenging perspective.

    Share the first perspective