Reutlinger Alexander, Colyvan Mark, Krzyżanowska Karolina
Munich Center for Mathematical Philosophy, Ludwig-Maximilians Universität, Ludwigstr. 31, 80539 Munich, Germany.
University of Sydney, A14 Main Quadrangle, Sydney, NSW 2006 Australia.
Erkenntnis. 2022;87(4):1773-1793. doi: 10.1007/s10670-020-00273-w. Epub 2020 May 30.
We 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.
我们探讨了一种一元论解释的前景,这种解释适用于科学中的非因果解释和纯数学。我们的出发点是科学解释中的反事实解释理论(CTE),正如近期关于解释的文献中所主张的那样。我们认为,尽管数学解释和科学解释存在明显差异,但CTE可以扩展到涵盖科学中的非因果解释和数学解释。特别是,将CTE成功应用于数学解释要求我们依赖反事实条件句。我们得出结论,CTE是科学和数学中一元论解释的一个有前途的候选理论。