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20202026
most citedProcedures of Leibnizian infinitesimal calculus: An account in three modern frameworks

17 citations · 32 across the 7 of their papers we have counts for

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9 papers · 1 filter

math.HO2026

Marx versus Engels on infinitesimals: Chimera or triumph?

Mikhail G. Katz, Karl Kuhlemann, Semen S. Kutateladze

We document the evolution of Karl Marx's take on infinitesimals. We contrast his initial favorable stance with later criticisms, and examine the differing perspectives of Marx and…

math.HO2026

A philosophical history of infinitesimals

Vladimir Kanovei, Mikhail G. Katz, Taras Kudryk +1

We explore the issue of providing a foundational framework for Leibnizian infinitesimals in the light of modern standard and nonstandard approaches. We outline a trichotomy of ordi…

math.HO2025

Formalism 25

Mikhail G. Katz, Karl Kuhlemann, Sam Sanders +1

Abraham Robinson's philosophical stance has been the subject of several recent studies. Erhardt following Gaifman claims that Robinson was a finitist, and that there is a tension b…

math.HO2025

Leibniz's contested infinitesimals: Further depictions

Mikhail G. Katz, Karl Kuhlemann

We contribute to the lively debate in current scholarship on the Leibnizian calculus. In a recent text, Arthur and Rabouin argue that non-Archimedean continua are incompatible with…

math.HO20241 cited

A Leibniz/NSA comparison

Mikhail G. Katz, Karl Kuhlemann, David Sherry

We present some similarities between Leibnizian and Robinsonian calculi, and address some objections raised by historians. The comparison with NSA facilitates our appreciation of s…

math.HO2024

Exploring Felix Klein's contested modernism

Peter Heinig, Mikhail G. Katz, Karl Kuhlemann +2

An alleged opposition between David Hilbert and Felix Klein as modern vs countermodern has been pursued by marxist historian Herbert Mehrtens and others. Scholars such as Epple, Gr…