{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T12:42:01Z","timestamp":1747226521902,"version":"3.40.5"},"reference-count":0,"publisher":"Universidade Federal de Santa Catarina (UFSC)","issue":"1","license":[{"start":{"date-parts":[[2020,4,28]],"date-time":"2020-04-28T00:00:00Z","timestamp":1588032000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Principia"],"abstract":"<jats:p>I propose a deductive-nomological model for mathematical scientific explanation. In this regard, I modify Hempel\u2019s 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 K\u00f6nigsberg, the North American synchronized cicadas, and H\u00e9non-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.<\/jats:p>","DOI":"10.5007\/1808-1711.2020v24n1p1","type":"journal-article","created":{"date-parts":[[2020,4,28]],"date-time":"2020-04-28T20:14:35Z","timestamp":1588104875000},"page":"1-27","source":"Crossref","is-referenced-by-count":0,"title":["A deductive-nomological model for mathematical scientific explanation"],"prefix":"10.5007","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4830-1676","authenticated-orcid":false,"given":"Eduardo","family":"Castro","sequence":"first","affiliation":[]}],"member":"2924","published-online":{"date-parts":[[2020,4,28]]},"container-title":["Principia: an international journal of epistemology"],"original-title":[],"link":[{"URL":"https:\/\/periodicos.ufsc.br\/index.php\/principia\/article\/viewFile\/60920\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/periodicos.ufsc.br\/index.php\/principia\/article\/viewFile\/60920\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,28]],"date-time":"2020-04-28T20:14:35Z","timestamp":1588104875000},"score":1,"resource":{"primary":{"URL":"https:\/\/periodicos.ufsc.br\/index.php\/principia\/article\/view\/1808-1711.2020v24n1p1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,4,28]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2020,4,28]]}},"URL":"https:\/\/doi.org\/10.5007\/1808-1711.2020v24n1p1","relation":{},"ISSN":["1808-1711","1414-4247"],"issn-type":[{"type":"electronic","value":"1808-1711"},{"type":"print","value":"1414-4247"}],"subject":[],"published":{"date-parts":[[2020,4,28]]}}}