Mechanistic explanation and explanatory proofs in mathematics(aEuro)
 Author
 Joachim Frans (UGent) and Erik Weber (UGent)
 Organization
 Abstract
 Although there is a consensus among philosophers of mathematics and mathematicians that mathematical explanations exist, only a few authors have proposed accounts of explanation in mathematics. These accounts fit into the unificationist or topdown approach to explanation. We argue that these models can be complemented by a bottomup approach to explanation in mathematics. We introduce the mechanistic model of explanation in science and discuss the possibility of using this model in mathematics, arguing that using it does not presuppose a Platonist view of mathematics and allows one to gain insight into why a theorem is true by answering whatifthingshadbeendifferent questions.
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU5718356
 MLA
 Frans, Joachim, and Erik Weber. “Mechanistic Explanation and Explanatory Proofs in Mathematics(AEuro).” PHILOSOPHIA MATHEMATICA, vol. 22, no. 2, 2014, pp. 231–48, doi:10.1093/philmat/nku003.
 APA
 Frans, J., & Weber, E. (2014). Mechanistic explanation and explanatory proofs in mathematics(aEuro). PHILOSOPHIA MATHEMATICA, 22(2), 231–248. https://doi.org/10.1093/philmat/nku003
 Chicago authordate
 Frans, Joachim, and Erik Weber. 2014. “Mechanistic Explanation and Explanatory Proofs in Mathematics(AEuro).” PHILOSOPHIA MATHEMATICA 22 (2): 231–48. https://doi.org/10.1093/philmat/nku003.
 Chicago authordate (all authors)
 Frans, Joachim, and Erik Weber. 2014. “Mechanistic Explanation and Explanatory Proofs in Mathematics(AEuro).” PHILOSOPHIA MATHEMATICA 22 (2): 231–248. doi:10.1093/philmat/nku003.
 Vancouver
 1.Frans J, Weber E. Mechanistic explanation and explanatory proofs in mathematics(aEuro). PHILOSOPHIA MATHEMATICA. 2014;22(2):231–48.
 IEEE
 [1]J. Frans and E. Weber, “Mechanistic explanation and explanatory proofs in mathematics(aEuro),” PHILOSOPHIA MATHEMATICA, vol. 22, no. 2, pp. 231–248, 2014.
@article{5718356, abstract = {{Although there is a consensus among philosophers of mathematics and mathematicians that mathematical explanations exist, only a few authors have proposed accounts of explanation in mathematics. These accounts fit into the unificationist or topdown approach to explanation. We argue that these models can be complemented by a bottomup approach to explanation in mathematics. We introduce the mechanistic model of explanation in science and discuss the possibility of using this model in mathematics, arguing that using it does not presuppose a Platonist view of mathematics and allows one to gain insight into why a theorem is true by answering whatifthingshadbeendifferent questions.}}, author = {{Frans, Joachim and Weber, Erik}}, issn = {{00318019}}, journal = {{PHILOSOPHIA MATHEMATICA}}, language = {{eng}}, number = {{2}}, pages = {{231248}}, title = {{Mechanistic explanation and explanatory proofs in mathematics(aEuro)}}, url = {{http://doi.org/10.1093/philmat/nku003}}, volume = {{22}}, year = {{2014}}, }
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