Katz, M.; Sherry, D. "Leibniz's Infinitesimals: Their Fictionality, Their Modern Implementations, And Their Foes From Berkeley To Russell And Beyond." Erkenntnis 78 (2013), no. 3, 571-625. See http://dx.doi.org/10.1007/s10670-012-9370-y and http://arxiv.org/abs/1205.0174
A review by Marcel Guillaume appears at http://www.ams.org/mathscinet-getitem?mr=3053644; see also Guillaume's review in pdf
Bair, J.; Błaszczyk, P.; Ely, R.; Henry, V.; Kanovei, V.; Katz, K.; Katz, M.; Kutateladze, S.; McGaffey, T.; Schaps, D.; Sherry, D.; Shnider, S. "Is mathematical history written by the victors?" Notices of the American Mathematical Society 60 (2013) no. 7, 886-904. See http://www.ams.org/notices/201307/rnoti-p886.pdf, http://www.ams.org/mathscinet-getitem?mr=3086638, and http://arxiv.org/abs/1306.5973
A response by Fraser appears at http://www.springer.com/us/book/9783319120294 and our response to Fraser's response appears at 17a and 18e.
Błaszczyk, P.; Katz, M.; Sherry, D. "Ten misconceptions from the history of analysis and their debunking." Foundations of Science 18 (2013), no. 1, 43-74. See http://dx.doi.org/10.1007/s10699-012-9285-8, http://www.ams.org/mathscinet-getitem?mr=3031794, and http://arxiv.org/abs/1202.4153
A response by Schubring appears at http://dx.doi.org/10.1007/s10699-015-9424-0
An illuminating MathSciNet review of Schubring's article by Albert C. Lewis can be found here: http://u.math.biu.ac.il/~katzmik/lewis17.pdf
Our response to Schubring's response appeared at Błaszczyk, P.; Kanovei, V.; Katz, M.; Sherry, D. "Controversies in the foundations of analysis: Comments on Schubring's Conflicts." Foundations of Science 22 (2017), no. 1, 125-140. See http://dx.doi.org/10.1007/s10699-015-9473-4
Our response was reviewed by Lewis at http://www.ams.org/mathscinet-getitem?mr=3605125
Kanovei, V.; Katz, K.; Katz, M.; Sherry, D. "Euler's lute and Edwards' oud." The Mathematical Intelligencer (2015). See http://arxiv.org/abs/1506.02586 and http://dx.doi.org/10.1007/s00283-015-9565-6
A response by Edwards appears at http://dx.doi.org/10.1007/s00283-015-9560-y
The response by Edwards was published at online first on 23 oct '15, as recorded in a pdf here: Edwards' response at online first
Our article to which Edwards responded was published at "online first" nearly two weeks later, on 5 nov '15, as recorded in a pdf here: The oud article at online first
Both pdfs were generated on 11nov'15 so as to preserve a record of the dates of "online first" publication, since these dates have already disappeared from the Springer site after the articles were published in an issue of the journal. We have not received any clarification from the journal as to why and how a response to our article could appear online before the publication of our article itself.
Błaszczyk, P.; Borovik, A.; Kanovei, V.; Katz, K.; Katz, M.;
Kudryk, T.; Kutateladze, S.; Sherry, D. "A non-standard analysis of a
cultural icon: The case of Paul Halmos." Logica Universalis
10 (2016), no. 4.
A response by Amos Shalit: counterattack on Halmos's critique of nonstandard analysis
Publications on the mathematics, history, and philosophy of infinitesimals