Castro, Eduardo2020-07-232020-07-2320201414-42471808-1711 (Online)http://hdl.handle.net/10400.6/10379I propose a deductive-nomological model for mathematical scientific explanation. In this regard, I modify Hempel’s deductive-nomological model and test it against some of the following recent paradigmatic examples of the mathematical explanation of empirical facts: the seven bridges of Königsberg, the North American synchronized cicadas, and Hénon-Heiles Hamiltonian systems. I argue that mathematical scientific explanations that invoke laws of nature are qualitative explanations, and ordinary scientific explanations that employ mathematics are quantitative explanations. I analyse the repercussions of this deductivenomological model on causal explanations.engExplanationMathematicsDN modelCausationSciencejournal article10.5007/1808-1711.2020v24n1p1