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    Carmelics

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    It is not the case that Fully analytical models could in principle achieve an exact match between model states and target system states

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

    Reasons For

    2 perspectives
    Reason for 1 of 2
    ?
    • 1.Chaotic systems exhibit sensitive dependence on initial conditions, meaning any finite specification of initial state—however precise—diverges exponentially from the true trajectory.
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      Think about whether this reason is strong or weak

    • 2.Even analytically exact equations require exact initial condition inputs, which are unavailable in principle given quantum indeterminacy and Heisenberg's uncertainty relations.
      ?

      Think about whether this reason is strong or weak

    • 3.Therefore 'exact match between model states and target system states' is nomologically impossible regardless of whether discretization is eliminated.
      ?

      Think about whether this reason is strong or weak

    Reason for 2 of 2
    ?
    • 1.Analytical models presuppose mathematical structures (real numbers, differential equations) that are human constructs, not ontological mirrors of physical systems.
      ?

      Think about whether this reason is strong or weak

    • 2.The assumption that continuous mathematics maps exactly onto physical reality commits a category error identified by Hartry Field and structural realists: mathematical representation is not identity with the target domain.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Analytical models are not constrained by discretization
      ?

      Think about whether this reason is strong or weak

    • 2.An exact correspondence between the number of possible model states and target system states is achievable without discretization
      ?

      Think about whether this reason is strong or weak

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