id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_6deom523ybbc5cwvcf3wnpbwva	Thomas Mormann	Infinitesimals as an Issue of Neo-Kantian Philosophy of Science	2013	51	.pdf	application/pdf	20684	1399	54	to clarify Leibniz's principle of continuity, and to exploit it in making sense of infinitesimals and related concepts. Keywords: Infinitesimals; Marburg neo-Kantianism; principle of continuity; Cantor-Dedekind-Weierstrass; Hermann Cohen; progressive conceptual evolution in science with the help of mathematical metaphors, to wit, Natorp's equational metaphor and Cassirer's the philosophers of the Marburg school considered empirical or mathematical concepts (or theories as systems of concepts) as stages in an ongoing process of an unending conceptual approximation. For the Marburg neo-Kantians, who had always emphasized the essential unity of mathematics and empirical science, the new relational for Leibniz' thought the concept of the infinitesimal was to be considered of fundamental importance, not only with respect to mathematics, but much more generally, also for Leibniz' philosophical understanding of the mathematized empirical sciences, a new concept of nature Nevertheless, despite its allegedly close relation to the modern mathematical concepts, according to Cassirer, Leibniz' continuity principle	./cache/work_6deom523ybbc5cwvcf3wnpbwva.pdf	./txt/work_6deom523ybbc5cwvcf3wnpbwva.txt