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    Kripke's possible worlds semantics requires that the doma... — Carmelics
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    Supports→The possibilist commitments of an intended KQML interpretation cannot be eliminated by the fact that the sentence 'there exist things that are not actual' is false at every world in KQML

    Kripke's possible worlds semantics requires that the domain function D assign objects to worlds, and those objects must exist in the metatheory regardless of which world is designated actual.

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    Reasons For

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    Reason for
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    • 1.Possible worlds semantics requires a fixed domain of objects to evaluate propositions across all worlds consistently.
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    • 2.Without a metatheoretic domain independent of actuality, we cannot coherently compare what exists in different possible worlds.
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    • 3.Kripke's framework treats possible worlds as abstract mathematical objects in the metatheory, requiring their contents to exist there.
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    Reasons Against

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    Reason against
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    • 1.The metatheory's objects need not be ontologically prior; semantics can work with world-relative domains that don't transcend worlds.
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    • 2.Requiring all possible objects in a single metatheoretic domain privileges actuality and undermines the autonomy of other possible worlds.
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    • 3.Quantification across worlds can be formalized without positing a domain-function; accessible-world relations provide sufficient structure.
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    Key Terms

    D (notation)(mathematical abbreviation)
    A shorthand symbol representing the domain function—it's just a letter used as a label for this list-making tool.
    Designated actual(the specific world that counts as reality in the theory)
    The world we choose to call 'the real one' or 'the actual one.' In Kripke's theory, you pick one possible world to be the actual world, and other worlds are imaginary by comparison.
    Domain function(as used in modal logic and formal semantics)
    A mathematical tool that takes a world as input and outputs a list of all the individuals (people, objects, etc.) that exist in that world.
    Kripke
    Kripke refers to Saul Kripke, an influential American philosopher and logician known for revolutionizing how we think about names, meaning, and possibility. He argued that names like "Albert Einstein" refer directly to the actual person rather than through descriptions of their properties, which changed philosophy fundamentally. His work also introduced "possible worlds" as a way to understand concepts like necessity and possibility, making him one of the most important philosophers of the 20th century.
    Metatheory(as the foundational framework underlying a logical system)
    The background rules and assumptions you need to use in order to study or reason about a logical system—like the scaffolding needed to build a house.
    possible worlds semantics(Philosophy of language)
    A propositionalist approach that identifies propositions with sets of possible worlds.

    Connections

    2 topics

    Modality & Possibility1 linkedPhilosophy of Language1 linked

    Related

    Kripke's framework treats possible worlds as abstract mathematical objects in th...Possible worlds semantics requires a fixed domain of objects to evaluate proposi...

    Details

    Type
    claim
    Perspectives
    2 (1 for, 1 against)
    Edits
    1 edit
    Quantification across worlds can be formalized without positing a domain-functio...
    Requiring all possible objects in a single metatheoretic domain privileges actua...
    +3 moreShow less
    The metatheory's objects need not be ontologically prior; semantics can work wit...The possibilist commitments of an intended KQML interpretation cannot be elimina...Without a metatheoretic domain independent of actuality, we cannot coherently co...