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    Hence 'relatively simple mappings' between solutions misi... — Carmelics
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    Challenges→Higher-level theories are legitimately reduced to lower-level theories when relatively simple mappings exist from solutions of the lower-level theory to solutions of the higher-level theory over a certain domain.

    Hence 'relatively simple mappings' between solutions misidentifies what would constitute a genuine inter-theoretic reduction of functionally defined higher-level theories.

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    Reasons For

    1 perspective
    Reason for
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    • 1.Functional definitions specify roles and causal relations that simple structural mappings between theories cannot capture or preserve.
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    • 2.Inter-theoretic reduction requires explaining why higher-level laws hold, not merely correlating solutions across mathematical frameworks.
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    • 3.Multiple realizability in functional systems means identical higher-level states map to diverse lower-level configurations, defeating simple mappings.
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    Reasons Against

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    Reason against
    ?
    • 1.Successful reductions in physics (thermodynamics to statistical mechanics) rely precisely on finding systematic mappings between solution spaces.
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    • 2.If mappings preserve causal structure and predictive content, they constitute genuine reduction regardless of functional vocabulary differences.
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    • 3.The claim conflates epistemological concerns about explanation with metaphysical facts about one theory's domain instantiating another's.
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    Related

    Functional definitions specify roles and causal relations that simple structural...Higher-level theories are legitimately reduced to lower-level theories when rela...If mappings preserve causal structure and predictive content, they constitute ge...Inter-theoretic reduction requires explaining why higher-level laws hold, not me...
    +3 moreShow less
    Multiple realizability in functional systems means identical higher-level states...Successful reductions in physics (thermodynamics to statistical mechanics) rely ...The claim conflates epistemological concerns about explanation with metaphysical...

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