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    The finite-precision loophole (Meyer, Kent, Clifton 1999)... — Carmelics
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    Challenges→Empirical tests of whether Nature is contextual seem possible

    The finite-precision loophole (Meyer, Kent, Clifton 1999) shows that any KS-uncolourable set can be approximated by a colourable set within experimental error.

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    Reasons For

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    • 1.Experimental tests have finite precision; if KS sets differ from colourable sets only below measurement resolution, the distinction lacks empirical significance.
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    • 2.The loophole preserves realism by showing KS results don't require abandoning value-assignment; they require only acknowledging measurement limits.
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    • 3.Physics should distinguish between mathematical ideals and physical reality; KS uses infinite-precision constructs inaccessible to actual experiments.
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    Reasons Against

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    • 1.The approximation requires context-dependent colourings that vary across measurement bases, undermining the core KS argument about non-contextuality.
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    • 2.Finite precision applies equally to both theory and measurement; allowing 'approximate colourability' arbitrarily weakens any impossibility proof.
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    • 3.KS targets logical consistency of value assignments, not measurement accuracy; approximation conflates distinct mathematical and empirical questions.
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    Related

    Empirical tests of whether Nature is contextual seem possibleExperimental tests have finite precision; if KS sets differ from colourable sets...Finite precision applies equally to both theory and measurement; allowing 'appro...KS targets logical consistency of value assignments, not measurement accuracy; a...
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    Physics should distinguish between mathematical ideals and physical reality; KS ...The approximation requires context-dependent colourings that vary across measure...The loophole preserves realism by showing KS results don't require abandoning va...

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