How mathematics can make a difference
Baron, Sam, Colyvan, Mark and Ripley, David. (2017) How mathematics can make a difference. Philosophers' Imprint. 17(3), pp. 1 - 19.
|Authors||Baron, Sam, Colyvan, Mark and Ripley, David|
Standard approaches to counterfactuals in the philosophy of explanation are geared toward causal explanation. We show how to extend the counterfactual theory of explanation to non-causal cases, involving extra-mathematical explanation: the explanation of physical facts (in part) by mathematical facts. Using a structural equation framework, we model impossible perturbations to mathematics and the resulting differences made to physical explananda in two important cases of extra-mathematical explanation. We address some objections to our approach.
|Journal citation||17 (3), pp. 1 - 19|
|Publisher||University of Michigan Press|
|Web address (URL)||http://hdl.handle.net/2027/spo.3521354.0017.003|
|Open access||Open access|
|Page range||1 - 19|
|Research Group||Dianoia Institute of Philosophy|
|Place of publication||United States of America|
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