PhilSci Archive

Dynamical Systems Theory and Explanatory Indispensability

Saatsi, Juha (2016) Dynamical Systems Theory and Explanatory Indispensability. [Preprint]

[img]
Preview
Text
EIA_Dynamical_Systems_Theory.pdf

Download (898kB) | Preview

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.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Creators:
CreatorsEmailORCID
Saatsi, JuhaJ.T.Saatsi@leeds.ac.uk
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
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
Date: November 2016
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/12741

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item