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    Chaos explanations are complementary to full model simula... — Carmelics
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    Chaos explanations are complementary to full model simulations.

    CausationTruth & Knowledge
    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Chaos models can tell us when and where to expect qualitative changes in nonlinear dynamics, such as the onset of complicated dynamics.
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    • 2.Full nonlinear model simulations yield precise values of system variables when degrees of freedom are reasonable.
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    • 3.Chaos models do not themselves yield precise values of system variables, but identify the conditions under which dynamical changes occur in full simulations.
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
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    • 1.Duhem argued that auxiliary hypotheses mediate between theoretical models and phenomena, making cross-model 'complementarity' an artifact of underdetermination.
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    • 2.What appears as complementarity between chaos explanations and simulations may simply reflect that both are independently compatible with the same underdetermined data.
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    • 3.If two models agree only because both fit underdetermined evidence, their agreement provides no additional explanatory or predictive warrant.
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    Reason against 2 of 2
    ?
    • 1.Chaos models and full simulations rest on incompatible idealizations: chaos theory requires infinite-time limits that finite simulations cannot instantiate.
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    • 2.When two frameworks require mutually exclusive mathematical conditions, their relationship is rivalry, not complementarity.
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    Related

    Chaos models and full simulations rest on incompatible idealizations: chaos theo...Chaos models can tell us when and where to expect qualitative changes in nonline...Chaos models do not themselves yield precise values of system variables, but ide...Duhem argued that auxiliary hypotheses mediate between theoretical models and ph...
    +4 moreShow less
    Full nonlinear model simulations yield precise values of system variables when d...If two models agree only because both fit underdetermined evidence, their agreem...What appears as complementarity between chaos explanations and simulations may s...When two frameworks require mutually exclusive mathematical conditions, their re...

    Similar

    The model itself, rather than a true description of the world, is the ...79%Causal explanations based on idealized models leave out features of th...79%Functional explanations are legitimate explanations in which a cause i...79%A causal explanation based on an idealized model can still be explanat...78%

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    SEP: chaos
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    Regarding (1), detailed predictions regarding individual trajectories fail rather rapidly for chaotic models when there is any error in specification of the initial state. So, says Kellert, instead we predict global behaviors of models and have an account of limited predictability in chaotic models. But many of these behaviors can be precisely predicted (e.g., control parameter values[9] at which various bifurcations occur, the onset of chaos, the return of n-periodic orbits). (1) amounts to i
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    3 (1 for, 2 against)
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