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It is not the case that Relational properties can be primitive and irreducible: 'A is 5 meters from B' need not entail A or B being located within a background space.
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Reasons For
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Reason for
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1.
Distance measurements presuppose metric structure; claiming primitiveness without explaining what makes 5m≠6m leaves the concept incomplete.
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2.
If 'A is 5m from B' doesn't anchor to space, it becomes unclear how distance grounds observable spatial behavior and physical interaction.
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3.
Relations require relata with internal structure; denying any spatial embedding shifts burden to explaining what properties A and B possess instead.
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Reasons Against
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Reason against
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1.
Quantum entanglement shows distant particles correlate without spatial mediation, suggesting relations need not reduce to spatial properties.
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2.
Background space itself requires explanation; positing it as primitive merely postpones the question of what grounds spatial structure.
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3.
Relations like 'cousin of' or 'earlier than' seem fundamental to reality without requiring objects to inhere in a container space.
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