Fiction, possibility and impossibility: three kinds of mathematical fictions in Leibniz's work

DOI10.1007/s00407-021-00277-0zbMath1484.01005OpenAlexW3158035634MaRDI QIDQ2052226

Federico Raffo Quintana, Oscar M. Esquisabel

Publication date: 25 November 2021

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

Full work available at URL: https://doi.org/10.1007/s00407-021-00277-0

zbMATH Keywords

possibilityimpossibilityfiction

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) History of mathematics in the 17th century (01A45)

Related Items (2)

LEIBNIZ ON BODIES AND INFINITIES: RERUM NATURA AND MATHEMATICAL FICTIONS ⋮ Two-track depictions of Leibniz's fictions

Cites Work

• Leibniz's syncategorematic infinitesimals
• The history of the priority dispute between Leibniz and Newton. History -- cultures -- people. With an epilogue by Eberhard Knobloch
• Differentials, higher-order differentials and the derivative in the Leibnizian calculus
• Leibniz's rigorous foundation of infinitesimal geometry by means of Riemannian sums
• Leibniz's syncategorematic infinitesimals. II: Their existence, their use and their role in the justification of the differential calculus
• Seventeenth-century indivisibles revisited
• Leibniz’s Rigorous Foundations of the Method of Indivisibles
• On the Plurality of Spaces in Leibniz
• Leibniz on The Elimination of Infinitesimals
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