Leibniz's syncategorematic infinitesimals

DOI10.1007/s00407-013-0119-zzbMath1273.01021OpenAlexW2378809802MaRDI QIDQ363509

Richard T. W. Arthur

Publication date: 3 September 2013

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00407-013-0119-z

zbMATH Keywords

calculushigher-order infinitesimalsNewton's \textit{Principia}smooth infinitesimal analysis

Mathematics Subject Classification ID

History of mathematics in the 17th century (01A45) History of real functions (26-03) History of measure and integration (28-03)

Related Items (10)

Toward a history of mathematics focused on procedures ⋮ Periodic words connected with the tribonacci-Lucas numbers ⋮ LEIBNIZ ON BODIES AND INFINITIES: RERUM NATURA AND MATHEMATICAL FICTIONS ⋮ Two-track depictions of Leibniz's fictions ⋮ Leibniz's syncategorematic infinitesimals. II: Their existence, their use and their role in the justification of the differential calculus ⋮ Leibniz on the Continuity of Space ⋮ Fiction, possibility and impossibility: three kinds of mathematical fictions in Leibniz's work ⋮ Possibility vs iterativity: Leibniz and Aristotle on the infinite ⋮ Leibniz's metaphysics of change: vague states and physical continuity ⋮ Procedures of Leibnizian infinitesimal calculus: an account in three modern frameworks

Cites Work

• Mathematical pluralism: The case of smooth infinitesimal analysis
• Differentials, higher-order differentials and the derivative in the Leibnizian calculus
• Leibniz's rigorous foundation of infinitesimal geometry by means of Riemannian sums
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