34 citations
- Bar-Ilan UniversityIL3 papers
- Russian University of TransportRU3 papers
- Institute of MathematicsPL2 papers
- Northern Arizona UniversityUS2 papers
- Novosibirsk State UniversityRU2 papers
- Sobolev Institute of MathematicsRU2 papers
- Uniwersytet Komisji Edukacji Narodowej w KrakowiePL2 papers
- University of the Basque CountryES1 paper
3 papers
math.HO2016★ 11 cited
Gregory's sixth operation
Tiziana Bascelli, Piotr Blaszczyk, Vladimir Kanovei +6
In relation to a thesis put forward by Marx Wartofsky, we seek to show that a historiography of mathematics requires an analysis of the ontology of the part of mathematics under sc…
math.HO2016★ 16 cited
Toward a history of mathematics focused on procedures
Piotr Blaszczyk, Vladimir Kanovei, Karin U. Katz +3
Abraham Robinson's framework for modern infinitesimals was developed half a century ago. It enables a re-evaluation of the procedures of the pioneers of mathematical analysis. Thei…
math.FA2012★ 34 cited
Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics
Vladimir Kanovei, Mikhail G. Katz, Thomas Mormann
We examine some of Connes' criticisms of Robinson's infinitesimals starting in 1995. Connes sought to exploit the Solovay model S as ammunition against non-standard analysis, but t…