67 citations · 818 across the 113 of their papers we have counts for
3 papers · 2 filters
Analyzing Benardete's comment on decimal notation
Jacques Bair, Piotr Blaszczyk, Karin U. Katz +3
Philosopher Benardete challenged both the conventional wisdom and the received mathematical treatment of zero, dot, nine recurring. An initially puzzling passage in Benardete on th…
A positive function with vanishing Lebesgue integral in Zermelo-Fraenkel set theory
Vladimir Kanovei, Mikhail G. Katz
Can a positive function on R have zero Lebesgue integral? It depends on how much choice one has. Keywords: Lebesgue integral; Zermelo--Fraenkel theory; Feferman-Levy model
Approaches to analysis with infinitesimals following Robinson, Nelson, and others
Peter Fletcher, Karel Hrbacek, Vladimir Kanovei +3
This is a survey of several approaches to the framework for working with infinitesimals and infinite numbers, originally developed by Abraham Robinson in the 1960s, and their const…