Leibniz’s syncategorematic infinitesimals II: their existence, their use and their role in the justification of the differential calculus-Reference-Cited by-同舟云学术

Leibniz’s syncategorematic infinitesimals II: their existence, their use and their role in the justification of the differential calculus

Published:2020-04-06 Issue:5 Volume:74 Page:401-443
ISSN:0003-9519
Container-title:Archive for History of Exact Sciences
language:en
Short-container-title:Arch. Hist. Exact Sci.

Author:

Rabouin David^ORCID,Arthur Richard T. W.^ORCID

Funder

ANR France

Publisher

Springer Science and Business Media LLC

Subject

History and Philosophy of Science,Mathematics (miscellaneous)

Link

http://link.springer.com/content/pdf/10.1007/s00407-020-00249-w.pdf

Reference48 articles.

1. Antognazza, M.R. 2015. The hypercategorematic infinite. Leibniz Review 25: 5–30.

2. Arthur, R.T.W. 2008. Leery Bedfellows: Newton and Leibniz on the status of infinitesimals. In (Goldenbaum and Jesseph 2008), 7–30.

3. Arthur, R.T.W. 2009. Actual infinitesimals in leibniz’s early thought. In The philosophy of the Young Leibniz, Studia Leibnitiana Sonderhefte, vol. 35, ed. Mark Kulstad, Mogens Laerke, and David Snyder, 11–28. Stuttgart: Franz Steiner.

4. Arthur, R.T.W. 2013. Leibniz’s syncategorematic infinitesimals, smooth infinitesimal analysis, and second order differentials. Archive for History of Exact Sciences 67: 553–593.

5. Arthur, R.T.W. 2019. Leibniz in Cantor’s paradise, chapter 3. In Leibniz and the structure of science: modern perspectives on the history of logic, mathematics, epistemology, ed. Vincenzo De Risi. Berlin: Springer.

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