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    Exact locations are exactly located only at themselves, m... — Carmelics
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    Home/Modality & Possibility
    HistoryEditSee Inverse

    Exact locations are exactly located only at themselves, meaning chains of exact location are always of length one

    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.If x is exactly located at y, then by Conditional Reflexivity, y is exactly located at y
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    • 2.If y is exactly located at y and also exactly located at z, then by Functionality, y equals z
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    • 3.Therefore, the only thing y can be exactly located at is itself
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
    ?
    • 1.Functionality—the thesis that each entity has at most one exact location—is rejected by endurantist accounts of persistence through time, where a single object occupies numerically distinct regions at different times.
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    • 2.If Functionality fails for persisting objects, then the inference that y's only exact location is itself collapses, since the formal machinery underwriting the length-one chain result is not universally valid.
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    • 3.Hudson and Sider's work on extended simples and multilocation demonstrates that Functionality is a substantive metaphysical commitment, not a logical truth, and cannot serve as a premise in a general proof.
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    Reason against 2 of 2
    ?
    • 1.Conditional Reflexivity presupposes that regions are self-locating entities, but regions qua abstract or geometric objects need not instantiate the location relation at all.
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    • 2.If regions are not the kinds of things that can be located, then 'y is exactly located at y' is a category error, not a logical consequence, leaving chains of location unanchored.
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    Modality & Possibility

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    Related

    Conditional Reflexivity presupposes that regions are self-locating entities, but...Functionality—the thesis that each entity has at most one exact location—is reje...Hudson and Sider's work on extended simples and multilocation demonstrates that ...If Functionality fails for persisting objects, then the inference that y's only ...
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    If regions are not the kinds of things that can be located, then 'y is exactly l...If x is exactly located at y, then by Conditional Reflexivity, y is exactly loca...If y is exactly located at y and also exactly located at z, then by Functionalit...Therefore, the only thing y can be exactly located at is itself

    Similar

    Chains of exact location are always short (length one)86%Conditional Reflexivity entails that any region that is exactly locate...83%Dependent Reflexivity (DR): if x is exactly located at y, then y is ex...82%If x is exactly located at y, then by Conditional Reflexivity, y is ex...81%

    Source

    AI-extracted1/3 agreementValid
    SEP: location-mereology
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    This says that exact locations are exactly located only at themselves (hence that ‘chains’ of exact location are always ‘short’). To see why this follows from Functionality and Conditional Reflexivity, suppose that x is exactly located at y. Then by Conditional Reflexivity, y is exactly located at y. If y is also exactly located at z, then by Functionality, y=z.
    Extraction notes

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

    Details

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