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    Schlick and the logical empiricists argued that metric re... — Carmelics
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    Challenges→The space problem (das Raumproblem) arises as a genuine philosophical and mathematical question: how can metric relations be determined on a continuous manifold M?

    Schlick and the logical empiricists argued that metric relations are fixed by coordinative definitions, not discovered as intrinsic features of manifolds.

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    1 reason for
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    Reasons For

    1 perspective
    Reason for
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    • 1.Metric properties like distance units depend on human choice of measurement standards, not mind-independent physical facts.
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    • 2.Different coordinate systems describe identical physical situations with different metric relations, showing metrics are conventional.
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    • 3.Empirical content concerns only relations between observations, not the abstract mathematical structure underlying description.
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    Reasons Against

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    Reason against
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    • 1.Physical spacetime has intrinsic causal and topological structure that constrains which metric choices are empirically adequate.
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    • 2.Conventionalism conflates the freedom to choose coordinate systems with the freedom to assign any metric relations to reality.
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    • 3.Some metric facts (like light cone structure) are discovered through experiment, not merely stipulated by definition.
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    Truth & Knowledge1 linkedModality & Possibility1 linked

    Related

    Conventionalism conflates the freedom to choose coordinate systems with the free...Different coordinate systems describe identical physical situations with differe...Empirical content concerns only relations between observations, not the abstract...Metric properties like distance units depend on human choice of measurement stan...
    +3 moreShow less
    Physical spacetime has intrinsic causal and topological structure that constrain...Some metric facts (like light cone structure) are discovered through experiment,...The space problem (das Raumproblem) arises as a genuine philosophical and mathem...

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