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It is not the case that Point-atoms lacking spatial extension whatsoever possess genuine indivisibility and thus cannot be decomposed into distinct parts.
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Reasons For
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Reason for
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1.
Point-atoms lack causal efficacy and cannot interact if they have zero extension, undermining their role as fundamental physical constituents.
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2.
Indivisibility may not require zero extension; a minimally extended quantum of space could be genuinely indivisible structurally.
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3.
Treating non-spatial properties (spin, charge) as decomposable aspects challenges whether point-atoms truly lack all internal distinction.
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Reasons Against
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Reason against
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1.
True indivisibility requires absence of spatial extension, since any spatial magnitude admits geometric division into smaller regions.
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2.
Point-atoms with zero extension have no distinct parts to separate, making decomposition logically impossible by definition.
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3.
Classical mereology supports that genuine simples cannot have proper parts, and zero-extension entities satisfy this requirement.
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