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Abstract
Our goal in this paper is to extend counterfactual accounts of scientific explanation to mathematics. Our focus, in particular, is on intramathematical explanations: explanations of one mathematical fact in terms of another. We offer a basic counterfactual theory of intramathematical explanations, before modelling the explanatory structure of a test case using counterfactual machinery. We finish by considering the application of counterpossibles to mathematical explanation, and explore a second test case along these lines.
Original language  English 

Pages (fromto)  134 
Number of pages  34 
Journal  Philosophia Mathematica: philosophy of mathematics, its learning, and its application 
Volume  28 
Issue number  1 
DOIs  
Publication status  Published  Feb 2020 
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Projects
 1 Active

A World Without Time: Timelessness in Physics and Metaphysics
Baron, S.
1/01/18 → 4/06/21
Project: Research