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    If geometry is conventional, κ selects a descriptive fram... — Carmelics
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    Challenges→The choice of conic κ determines which geometry — Euclidean, Lobachevskian, or elliptic — is realized by the resulting metric structure.

    If geometry is conventional, κ selects a descriptive framework, not a realized geometry in any mind-independent sense.

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    Reasons For

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    Reason for
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    • 1.Physical space admits multiple consistent geometric descriptions (Euclidean, non-Euclidean) that fit empirical data equally well.
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    • 2.Our choice among geometries reflects pragmatic utility and linguistic convention, not discovery of pre-existing spatial structure.
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    • 3.Mind-independent reality cannot privilege one geometric framework without making geometric properties intrinsic to matter itself.
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    Reasons Against

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    • 1.General relativity's metric tensor describes spacetime curvature independent of human description—geometry has mind-independent causal effects.
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    • 2.If geometry were purely conventional, different frameworks would yield identical predictions; they don't under extreme conditions.
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    • 3.Calling geometry 'conventional' conflates the *language* we use with the *structure* it represents—a category error.
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    Related

    Calling geometry 'conventional' conflates the *language* we use with the *struct...General relativity's metric tensor describes spacetime curvature independent of ...If geometry were purely conventional, different frameworks would yield identical...Mind-independent reality cannot privilege one geometric framework without making...
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    Our choice among geometries reflects pragmatic utility and linguistic convention...Physical space admits multiple consistent geometric descriptions (Euclidean, non...The choice of conic κ determines which geometry — Euclidean, Lobachevskian, or e...

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    claim
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    2 (1 for, 1 against)
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