A deductive-nomological model for mathematical scientific explanation
2020 ◽
Vol 24
(1)
◽
pp. 1-27
Keyword(s):
I 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.
2020 ◽
Keyword(s):
2020 ◽
Keyword(s):
1999 ◽
Vol 41
(4)
◽
pp. 573-576
◽
1888 ◽
Vol 25
(650supp)
◽
pp. 10389-10390
Keyword(s):