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- W2552289288 abstract "Norton’s dome is an example of indeterminism in Newtonian physics, based on a non-Lipschitz continuous differential equation (Norton 2008). We present an alternative model using non-standard analysis, which involves infinitesimals and is close to physical praxis. Our hyperfinite model for the dome is deterministic. Moreover, it allows us to assign probabilities to the variable in the indeterministic model. If we follow Sommer and Suppes’ (1997) suggestion that non-standard models are empirically indistinguishable from models based on standard reals, we have to conclude that (in-)determinism is a model-dependent property. Werndl (2009) reaches the same conclusion for a different source of indeterminism." @default.
- W2552289288 created "2016-11-30" @default.
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- W2552289288 date "2013-01-01" @default.
- W2552289288 modified "2023-09-28" @default.
- W2552289288 title "A deterministic model for Norton's dome" @default.
- W2552289288 hasPublicationYear "2013" @default.
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