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Procedures of Leibnizian infinitesimal calculus: an account in three modern frameworks

  • Published:2021-01-18 Issue: Volume: Page:1-40
  • ISSN:2637-5451
  • Container-title:British Journal for the History of Mathematics
  • language:en
  • Short-container-title:British Journal for the History of Mathematics

Author:

Bair Jacques1,Błaszczyk Piotr2ORCID,Ely Robert3ORCID,Katz Mikhail G.4ORCID,Kuhlemann Karl5ORCID

Affiliation:

1. HEC-ULG, University of Liege, Liege, Belgium

2. Institute of Mathematics, Pedagogical University of Cracow, Cracow, Poland

3. Department of Mathematics, University of Idaho, Moscow, ID, US

4. Department of Mathematics, Bar Ilan University, Ramat Gan, Israel

5. Gottfried Wilhelm Leibniz University Hannover, Hannover, Germany

Publisher

Informa UK Limited

Subject

History and Philosophy of Science,Education,Mathematics (miscellaneous)

Reference120 articles.

1. Pure and Applied Mathematics;Albeverio S,1986

2. One of Berkeley’s arguments on compensating errors in the calculus

3. Arthur, R , ‘x+dx=x’: Leibniz's Archimedean infinitesimals (2007). See https://www.humanities.mcmaster.ca/rarthur/papers/x+dx=x.pdf.

4. Leibniz’s syncategorematic infinitesimals

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1. Multi-level nonstandard analysis and the axiom of choice;Journal of Logic and Analysis;2024-07-03

2. Evolution of Leibniz’s Thought in the Matter of Fictions and Infinitesimals;Handbook of the History and Philosophy of Mathematical Practice;2024

3. Effective Infinitesimals in $\mathbb R$;Real Analysis Exchange;2023-10-01

4. Abstracts;Historia Mathematica;2023-02

5. Evolution of Leibniz’s Thought in the Matter of Fictions and Infinitesimals;Handbook of the History and Philosophy of Mathematical Practice;2023
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