Leibniz’s Rigorous Foundations of the Method of Indivisibles

DOI10.1007/978-3-319-00131-9_15zbMath1326.01030OpenAlexW875338281MaRDI QIDQ2950510

David Rabouin

Publication date: 9 October 2015

Published in: Seventeenth-Century Indivisibles Revisited (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-00131-9_15

zbMATH Keywords

Leibnizindivisibles

Mathematics Subject Classification ID

History of mathematics in the 17th century (01A45)

Related Items (11)

On what has been called Leibniz's rigorous foundation of infinitesimal geometry by means of Riemannian sums ⋮ Periodic words connected with the tribonacci-Lucas numbers ⋮ LEIBNIZ ON BODIES AND INFINITIES: RERUM NATURA AND MATHEMATICAL FICTIONS ⋮ Three case studies in current Leibniz scholarship ⋮ 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 ⋮ How Leibniz tried to tell the world he had squared the circle ⋮ Fiction, possibility and impossibility: three kinds of mathematical fictions in Leibniz's work ⋮ Mengoli's mathematical ideas in Leibniz's excerpts ⋮ Leibniz's metaphysics of change: vague states and physical continuity ⋮ Procedures of Leibnizian infinitesimal calculus: an account in three modern frameworks

Cites Work

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• Differentials, higher-order differentials and the derivative in the Leibnizian calculus
• The metaphysics of the calculus: A foundational debate in the Paris Academy of Sciences, 1700-1706
• Leibniz's rigorous foundation of infinitesimal geometry by means of Riemannian sums
• Non-standard analysis

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