Abstract
AbstractWe explore the prospects of a monist account of explanation for both non-causal explanations in science and pure mathematics. Our starting point is the counterfactual theory of explanation (CTE) for explanations in science, as advocated in the recent literature on explanation. We argue that, despite the obvious differences between mathematical and scientific explanation, the CTE can be extended to cover both non-causal explanations in science and mathematical explanations. In particular, a successful application of the CTE to mathematical explanations requires us to rely on counterpossibles. We conclude that the CTE is a promising candidate for a monist account of explanation in both science and mathematics.
Funder
Australian Research Council
European Research Council
Publisher
Springer Science and Business Media LLC
Reference75 articles.
1. Aaronson, S. (2016). P $$\stackrel{?}{=}$$ NP. In J. Nash & M. Rassias (Eds.), Open problems in mathematics (pp. 1–122). Berlin: Springer.
2. Arora, S., & Barak, B. (2009). Computational complexity: A modern approach. Cambridge: Cambridge University Press.
3. Apostol, T. M. (1967). Calculus: Vol. 1: One-variable calculus, with an introduction to linear algebra (2nd ed.). Waltham, MA: Blaisdell.
4. Baker, A. (2005). Are there genuine mathematical explanations of physical phenomena? Mind, 114(454), 223–238.
5. Baron, S., & Colyvan, M. (2016). Time enough for explanation. The Journal of Philosophy, 113(2), 61–88.
Cited by
12 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献