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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 Complexity theory's feasibility boundary is defined relative to input-size scaling of machine operations, a framework entirely absent from strict finitist writings.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    1 perspective
    Reason for
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    • 1.Strict finitists can represent finite approximations and concrete bounds on computation for practical input sizes without requiring asymptotic scaling frameworks.
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    • 2.The claim conflates finitism's rejection of infinity with inability to discuss finite-but-variable input sizes; finitists address the latter meaningfully.
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    • 3.Historical finitist work (Kronecker, Nelson) examined algorithmic processes and computational feasibility using finite means, suggesting the framework isn't entirely absent.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Strict finitists reject infinite sets and asymptotic analysis, making input-size scaling frameworks conceptually unavailable to their foundational commitments.
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    • 2.Complexity theory's P vs NP problem fundamentally relies on quantifying operations relative to input growth—a scaling framework absent from finitist constructivism.
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    • 3.Finitist mathematics addresses only concrete finite objects, while computational complexity necessarily abstracts over unbounded input classes and their operational costs.
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