30 citations · 199 across the 25 of their papers we have counts for
Showing 2011 · math.HOShow all
3 papers · 2 filters
math.HO2011★ 23 cited
Cauchy's continuum
Karin U. Katz, Mikhail G. Katz
Cauchy's sum theorem of 1821 has been the subject of rival interpretations ever since Robinson proposed a novel reading in the 1960s. Some claim that Cauchy modified the hypothesis…
math.HO2011★ 13 cited
Stevin numbers and reality
Karin Usadi Katz, Mikhail G. Katz
We explore the potential of Simon Stevin's numbers, obscured by shifting foundational biases and by 19th century developments in the arithmetisation of analysis.
math.HO2011★ 30 cited
A Burgessian critique of nominalistic tendencies in contemporary mathematics and its historiography
Karin Usadi Katz, Mikhail G. Katz
We analyze the developments in mathematical rigor from the viewpoint of a Burgessian critique of nominalistic reconstructions. We apply such a critique to the reconstruction of inf…