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    Causey, Nagel, and classical reductionists distinguish fo... — Carmelics
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    Challenges→In nonlinear systems, the whole cannot be reduced to the sum of its parts.

    Causey, Nagel, and classical reductionists distinguish formal intractability from ontological irreducibility: epistemic limits do not entail compositional failure.

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    1 reason for
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    Reasons For

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    Reason for
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    • 1.Computational complexity (P vs NP) shows systems can be composed of simple parts yet resist algorithmic prediction without ontological magic.
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    • 2.Neural consciousness may be fully reducible to microphysics while remaining epistemically opaque due to measurement constraints, not missing parts.
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    • 3.Mathematical theorems are derivable from axioms in principle, yet proofs can be astronomically long—proving epistemic tractability differs from conceptual composition.
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    Reasons Against

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    • 1.If a system's behavior cannot even theoretically be predicted from its parts, skepticism arises whether compositional description is truly complete.
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    • 2.Distinguishing epistemic limits from ontological gaps risks becoming unfalsifiable: any irreducibility claim can be dismissed as mere 'ignorance gaps.'
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    • 3.Emergence phenomena (liquid water's wetness) suggest some properties depend on organization in ways that matter for what 'composition' fundamentally means.
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    Causation1 linkedModality & Possibility1 linked

    Related

    Computational complexity (P vs NP) shows systems can be composed of simple parts...Distinguishing epistemic limits from ontological gaps risks becoming unfalsifiab...Emergence phenomena (liquid water's wetness) suggest some properties depend on o...If a system's behavior cannot even theoretically be predicted from its parts, sk...
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    In nonlinear systems, the whole cannot be reduced to the sum of its parts.Mathematical theorems are derivable from axioms in principle, yet proofs can be ...Neural consciousness may be fully reducible to microphysics while remaining epis...

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    claim
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    2 (1 for, 1 against)
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