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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Original/inverse
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    Inverse View

    It is not the case that Conflating 'unreasonable for sequential complexity theory' with 'unreasonable as a model of computation' commits a category error about the purpose of machine models.

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    Reasons For

    1 perspective
    Reason for
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    • 1.If a model fails as a computation model (violates Church-Turing thesis, allows hypercomputation), it's inadequate for *any* theoretical purpose, not just complexity.
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    • 2.The distinction between 'purpose in complexity theory' and 'purpose as computation model' may not be genuinely separable—both depend on what computation fundamentally is.
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    • 3.Calling something a 'category error' can obscure that the critic has substantive concerns about the model's coherence, not just about mismatched evaluation criteria.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Computational models serve distinct purposes: theoretical analysis vs. practical implementation. Conflating them misapplies standards from one domain to another.
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    • 2.A model can be unreasonable for complexity analysis (e.g., too permissive about operations) yet remain a valid abstract computation framework for other purposes.
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    • 3.Category errors occur precisely when we judge tools by criteria irrelevant to their intended function, so distinguishing purposes prevents such errors.
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