Suárez, Javier and Deulofeu, Roger
(2019)
Equilibrium explanation as structural nonmechanistic explanations: The case of longterm bacterial persistence in human hosts.
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Suarez and Deulofeu  Equilibrium explanations FINAL. ultimas revisiones Roger.docx
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Abstract
Philippe Huneman has recently questioned the widespread application of mechanistic models of scientific explanation based on the existence of structural explanations, i.e. explanations that account for the phenomenon to be explained in virtue of the mathematical properties of the system where the phenomenon obtains, rather than in terms of the mechanisms that causally produce the phenomenon. Structural explanations are very diverse, including cases like explanations in terms of bowtie structures, in terms of the topological properties of the system, or in terms of equilibrium. The role of mathematics in bowtie structured systems and in topologically constrained systems has recently been examined in different papers. However, the specific role that mathematical properties play in equilibrium explanations requires further examination, as different authors defend different interpretations, some of them closer to the newmechanistic approach than to the structural model advocated by Huneman. In this paper, we cover this gap by investigating the explanatory role that mathematics play in Blaser and Kirschner’s nested equilibrium model of the stability of persistent longterm humanmicrobe associations. We argue that their model is explanatory because: i) it provides a mathematical structure in the form of a set of differential equations that together satisfy an ESS; ii) that the nested nature of the ESSs makes the explanation of hostmicrobe persistent associations robust to any perturbation; iii) that this is so because the properties of the ESS directly mirror the properties of the biological system in a noncausal way. The combination of these three theses make equilibrium explanations look more similar to structural explanations than to causalmechanistic explanation.
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Equilibrium explanation as structural nonmechanistic explanations: The case of longterm bacterial persistence in human hosts. (deposited 17 Sep 2019 15:04)
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