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The Norton-Type Lipschitz-Indeterministic Systems and Elastic Phenomena: Indeterminism as an Artefact of Infinite Idealizations

Korolev, Alexandre (2007) The Norton-Type Lipschitz-Indeterministic Systems and Elastic Phenomena: Indeterminism as an Artefact of Infinite Idealizations. In: [2008] Philosophy of Science Assoc. 21st Biennial Mtg (Pittsburgh, PA) > PSA 2008 Contributed Papers.

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    Abstract

    The singularity arising from the violation of the Lipschitz condition in the simple Newtonian system proposed recently by Norton (2003) is so fragile as to be completely and irreparably destroyed by slightly relaxing certain (infinite) idealizations pertaining to elastic phenomena in this model. I demonstrate that this is also true for several other Lipschitz-indeterministic systems, which, unlike Norton's example, have no surface curvature singularities. As a result, indeterminism in these systems should rather be viewed as an artefact of certain infinite idealizations essential for these models, depriving them of much of their intended metaphysical import.


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    Item Type: Conference or Workshop Item (UNSPECIFIED)
    Keywords: The Norton-Type Lipschitz-Indeterministic Systems and Norton-type Indeterminism, Lipschitz Condition, Elastic Phenomena, Mass-on-the-Dome, Infinite Idealizations
    Subjects: Specific Sciences > Physics > Classical Physics
    General Issues > Models and Idealization
    General Issues > Determinism/Indeterminism
    Conferences and Volumes: [2008] Philosophy of Science Assoc. 21st Biennial Mtg (Pittsburgh, PA) > PSA 2008 Contributed Papers
    Depositing User: Alexandre Korolev
    Date Deposited: 08 Nov 2008
    Last Modified: 07 Oct 2010 11:17
    Item ID: 4314
    URI: http://philsci-archive.pitt.edu/id/eprint/4314

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