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
    In the model theory of SQML, the possibility operator ◇ i... — Carmelics
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Philosophy of Language
    HistoryEditSee Inverse

    Part of a larger discussion

    Supports→The Barcan Formula (BF) is valid in Simplest Quantified Modal Logic (SQML)

    In the model theory of SQML, the possibility operator ◇ is literally an existential quantifier ranging over all possible worlds

    Modality & PossibilityPhilosophy of Language
    ?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 LanguageModality & Possibility

    Related

    In evaluating an existentially quantified formula ∃νφ at a possible world w, the...The Barcan Formula (BF) is valid in Simplest Quantified Modal Logic (SQML)When two existential quantifiers range over independent domains, switching their...

    Next step

    Based on where you are in your exploration

    Browse more in Philosophy of Language
    Related propositions within the same area of thought.

    Similar

    In SQML, evaluating an existentially quantified formula at any possibl...80%In evaluating an existentially quantified formula ∃νφ at a possible wo...80%A Humean theory of metaphysical possibility supports the sufficiency o...79%Lewis argues that possible worlds exist because they are quantified ov...79%

    Source

    AI-extracted
    SEP: possibilism-actualism
    View source passageHide passage
    That is, informally, if there could be something satisfying any given description \(\varphi,\) then there is something that could satisfy that description, a thing that is possibly \(\varphi.\) The validity of BF in SQML rests on two facts: first, that in the model theory of SQML (as in all varieties of possible world semantics), the possibility operator \(\Diamond\) is literally an existential quantifier ranging over all possible worlds; and second, that, in evaluating an existentially quan

    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