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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Original/inverse
    See Original
    Inverse View

    It is not the case that Topological and ordinal relations (betweenness, continuity, connectedness) are irreducibly qualitative structural features of space-time.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.All topological and ordinal properties require an underlying metric or coordinate system to be physically instantiated and measured.
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    • 2.Betweenness and continuity are definable in purely algebraic-metric terms; their 'qualitative' status is merely notational convenience, not ontological.
      ?

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    • 3.Quantum mechanics suggests space-time structure may be fundamentally discrete or non-topological at small scales, undercutting claims of irreducible topological primacy.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Metric structure (distances) can be derived from topological continuity and order relations, but not vice versa.
      ?

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    • 2.Connectivity and betweenness are invariant under continuous deformations, suggesting they capture fundamental structural properties independent of quantitative description.
      ?

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    • 3.Physical laws (causality, light-cones) depend essentially on topological separation and ordering, not merely on metric quantities.
      ?

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