Tool Migration: A Framework for Analyzing Cross-disciplinary Use of Mathematical Constructs

Abstract

Mathematical formalisms that are constructed for inquiry in one disciplinary context are sometimes applied to another, a phenomenon that I call ‘tool migration.’ Philosophers of science have addressed the advantages of using migrated tools. In this paper, I argue that tool migration can be epistemically risky. I then develop an analytic framework for better understanding the risks that are implicit in tool migration. My approach shows that viewing mathematical constructs as tools while also acknowledging their representational features allows for a balanced understanding of knowledge production that is aided by the research tools migrated across disciplinary boundaries.

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Chia-Hua Lin
Fairfield University

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