The Enhanced Indispensability Argument: Representational versus Explanatory Role of Mathematics in Science

British Journal for the Philosophy of Science 62 (1):143-154 (2011)
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Abstract

The Enhanced Indispensability Argument (Baker [ 2009 ]) exemplifies the new wave of the indispensability argument for mathematical Platonism. The new wave capitalizes on mathematics' role in scientific explanations. I will criticize some analyses of mathematics' explanatory function. In turn, I will emphasize the representational role of mathematics, and argue that the debate would significantly benefit from acknowledging this alternative viewpoint to mathematics' contribution to scientific explanations and knowledge.

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10.1093/bjps/axq029

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Citations of this work

Explanatory Abstractions.Lina Jansson & Juha Saatsi - 2019 - British Journal for the Philosophy of Science 70 (3):817–844.
Explanation in Computational Neuroscience: Causal and Non-causal.M. Chirimuuta - 2018 - British Journal for the Philosophy of Science 69 (3):849-880.
General Theory of Topological Explanations and Explanatory Asymmetry.Daniel Kostic - 2020 - Philosophical Transactions of the Royal Society B: Biological Sciences 375 (1796):1-8.

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References found in this work

Mathematical Explanation in Science.Alan Baker - 2009 - British Journal for the Philosophy of Science 60 (3):611-633.
The explanatory power of phase spaces.Aidan Lyon & Mark Colyvan - 2008 - Philosophia Mathematica 16 (2):227-243.
Response to Colyvan.Joseph Melia - 2002 - Mind 111 (441):75-80.

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