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    An exact correspondence between the number of possible mo... — Carmelics
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    Home/Modality & Possibility
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    Supports→Fully analytical models could in principle achieve an exact match between model states and target system states

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

    Modality & PossibilityTruth & Knowledge
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    Analytical models are not constrained by discretizationFully analytical models could in principle achieve an exact match between model ...

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    Fully analytical models could in principle achieve an exact match betw...81%There will always be many more target system states than model states ...80%Computational models require discretization of equations, which furthe...80%The number of available states is fixed exogenously by the modeler76%

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    Of course, we do not have perfect models. But even if we did, they are unlikely to live up to our intuitions about them (Judd and Smith 2001; Judd and Smith 2004). For example, no matter how many observations of a system are made, there still will be a set of trajectories in the model state space that are indistinguishable from the actual trajectory of the target system. Indeed, even for infinite past observations, we cannot eliminate the uncertainty in the epistemic states given some unknown on

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