Saatsi, Juha (2016) Dynamical Systems Theory and Explanatory Indispensability. [Preprint]
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Abstract
I examine explanations' realist commitments in relation to dynamical systems theory. First I rebut an 'explanatory indispensability argument' for mathematical realism from the explanatory power of phase spaces (Lyon and Colyvan 2007). Then I critically consider a possible way of strengthening the indispensability argument by reference to attractors in dynamical systems theory. The take-home message is that understanding of the modal character of explanations (in dynamical systems theory) can undermine platonist arguments from explanatory indispensability.
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Item Type: | Preprint | ||||||
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Additional Information: | Forthcoming in Philosophy of Science 84(5), 2017. Presented at PSA2016. | ||||||
Keywords: | Indispensability argument Platonism Chaos Explanation | ||||||
Subjects: | General Issues > Explanation Specific Sciences > Mathematics General Issues > Models and Idealization General Issues > Realism/Anti-realism |
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Depositing User: | Juha Saatsi | ||||||
Date Deposited: | 11 Jan 2017 15:22 | ||||||
Last Modified: | 11 Jan 2017 15:22 | ||||||
Item ID: | 12741 | ||||||
Subjects: | General Issues > Explanation Specific Sciences > Mathematics General Issues > Models and Idealization General Issues > Realism/Anti-realism |
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Date: | November 2016 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/12741 |
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