Controversies in the foundations of analysis: comments on Schubring's \textit{Conflicts}

DOI10.1007/s10699-015-9473-4zbMath1368.01021arXiv1601.00059OpenAlexW3103819722MaRDI QIDQ2013410

Piotr Błaszczyk, David Sherry, Kanovei, Vladimir, Mikhail G. Katz

Publication date: 17 August 2017

Published in: Foundations of Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00059

zbMATH Keywords

infinitesimalprocedureontologyCauchyLeibnizArchimedean axiomFelix KleinHorn-angle

Mathematics Subject Classification ID

History of mathematics in the 19th century (01A55) History of real functions (26-03)

Related Items (6)

Toward a history of mathematics focused on procedures ⋮ Gregory's sixth operation ⋮ Cauchy's infinitesimals, his sum theorem, and foundational paradigms ⋮ LEIBNIZ ON BODIES AND INFINITIES: RERUM NATURA AND MATHEMATICAL FICTIONS ⋮ 19th-century real analysis, forward and backward ⋮ Three case studies in current Leibniz scholarship

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Euler's lute and Edwards's oud
• The development of Euclidean axiomatics. The systems of principles and the foundations of mathematics in editions of the \textit{Elements} in the early modern age
• Who gave you the Cauchy-Weierstrass tale? The dual history of rigorous calculus
• Stevin numbers and reality
• A Cauchy-Dirac delta function
• Ten misconceptions from the history of analysis and their debunking
• Leibniz's infinitesimals: their fictionality, their modern implementations, and their foes from Berkeley to Russell and beyond
• Eine Erweiterung der Infinitesimalrechnung
• Cauchy's Cours d'analyse. An annotated translation
• Infinitely small quantities in Cauchy's textbooks
• Definite values of infinite sums: Aspects of the foundations of infinitesimal analysis around 1820
• Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics
• In defence of geometrical algebra
• Comments on a paper on alleged misconceptions regarding the history of analysis: who has misconceptions?
• A Burgessian critique of nominalistic tendencies in contemporary mathematics and its historiography
• Conflicts between generalization, rigor and intuition. Number concepts underlying the development of analysis in 17th--19th century France and Germany
• Neue Gesichtspunkte zum 5. Buch Euklids
• Did Cauchy plagiarize Bolzano?
• Fermat, Leibniz, Euler, and the Gang: The True History of the Concepts of Limit and Shadow
• EARLY HISTORY OF GEOMETRIC PROBABILITY AND STEREOLOGY
• Is mathematical history written by the victors?
• Nonstandard Analysis, Infinitesimals, and the History of Calculus
• Cauchy's Continuum
• Almost Equal: the Method of Adequality from Diophantus to Fermat and Beyond
• Leibniz’s Laws of Continuity and Homogeneity
• Rings of Real-Valued Continuous Functions. I

This page was built for publication: Controversies in the foundations of analysis: comments on Schubring's \textit{Conflicts}