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    Made withinDC&Austin
    Necessary truths are necessary in every possible world — Carmelics
    Statements
    321,452
    Perspectives
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    Home/Modality & Possibility
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    Necessary truths are necessary in every possible world

    Modality & Possibility
    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Necessity is not a matter of happenstance
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    • 2.The necessary truths of our world hold without contingency
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
    ?
    • 1.On David Lewis's modal realism, possible worlds are ontologically on a par, so no world has privileged access to which truths are 'necessary across all worlds'.
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    • 2.The claim that necessity holds in every possible world presupposes a fixed modal space, but the cardinality and structure of that space is itself a substantive metaphysical posit, not a logical truth.
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    • 3.Without an independent criterion for fixing modal space, the claim becomes circular: necessity is defined by possible worlds whose existence presupposes what counts as necessary.
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    Reason against 2 of 2
    ?
    • 1.Modal facts themselves may be contingent: it is conceivable that the laws of logic could have been otherwise (Hartry Field, 'Is Mathematical Knowledge Just Logical Knowledge?').
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    • 2.If modal facts are contingent, then what counts as necessary in one world need not be necessary in another, undermining cross-world necessity.
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    Topics

    Modality & Possibility

    Related

    If modal facts are contingent, then what counts as necessary in one world need n...Modal facts themselves may be contingent: it is conceivable that the laws of log...Necessity is not a matter of happenstanceOn David Lewis's modal realism, possible worlds are ontologically on a par, so n...
    +3 moreShow less
    The claim that necessity holds in every possible world presupposes a fixed modal...The necessary truths of our world hold without contingencyWithout an independent criterion for fixing modal space, the claim becomes circu...

    Similar

    Axioms are necessary truths90%Necessary truths are true in every possible world88%It is one thing to will that truths be necessary.87%Truths about what is possible are necessary truths86%

    Source

    AI-extracted1/3 agreementValid
    SEP: possibilism-actualism
    View source passageHide passage
    4 says of necessities what 5 says about possibilities: necessity is not a matter of happenstance; the necessary truths of our world are necessary in every world. B says that anything that is in fact the case had to have been possible; the truths in our world are, at the least, possibilities in every other world.
    Extraction notes

    Validity: Extracted via Max plan + API grounding/validity checks

    Details

    Type
    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit