“Newton and Leibniz on the relativity of motion”, for the *Oxford Handbook of Newton*, ed. Chris Smeenk and Eric Schliesser, 2015 (www.oxfordhandbooks.com), [preprint].

“On the mathematization of free fall: Galileo, Descartes and a history of misconstrual”, for *The Mathematization of Nature*, *Minnesota Studies in Philosophy of Science, *2015 [preprint].

“Leibniz's Actual Infinite in Relation to his Analysis of Matter”, forthcoming in* Leibniz on the interrelations between mathematics and philosophy*, (Springer: Archimedes Series), ed. Norma Goethe, Philip Beeley and David Rabouin, 2015. [preprint]

“Leibniz's Syncategorematic Infinitesimals, Smooth Infinitesimal Analysis, and Second Order Differentials”, *Archive for History of Exact Sciences*, 67: 553–593, April 2013 [preprint] The final publication will be available at link.springer.com.

“The Labyrinth of the Continuum”, in Maria Rosa Antognazza (ed.), *Oxford Handbook of Leibniz*; published online at (www.oxfordhandbooks.com), Oxford: Oxford University Press, December 2013. [preprint]

“Leery Bedfellows: Newton and Leibniz on the Status of Infinitesimals,” pp. 7-30 in *Infinitesimal Differences: Controversies between Leibniz and his Contemporaries*, ed. Ursula Goldenbaum and Douglas Jesseph, Berlin and New York: De Gruyter, 2008. [preprint]

“Leibniz’s Archimedean Infinitesimals,” Proceedings of the *Canadian Society for History and Phil. of Mathematics*, 21, 1-10, 2008—a preliminary version of the paper below to be published by the Royal Academy. [preprint]

“‘x + dx = x’: Leibniz’s Archimedean infinitesimals”, supposed to appear as a chapter in *Structure and Identity*, ed. Karin Verelst, Royal Academy, Brussels (unpublished; written 2007) [preprint]

"The transcendentality of π (pi) and Leibniz's philosophy of mathematics",* Proceedings of the Canadian Society for History and Philosophy of Mathematics*, 12, 13-19, 1999. Here I show that in an unpublished paper of 1676 (A VI iii N69) Leibniz conjectured that π (pi) cannot be expressed even as the irrational root "of an equation of any degree", thus anticipating Legendre's famous conjecture of the transcendentality of π by some 118 years. [preprint]

"The remarkable fecundity of Leibniz's work on infinite series": a review article on 2 Akademie volumes of Leibniz's writings, VII, 3: 1672-76: Differenzen, Folen Reihen, and III, 5: Mathematischer, naturwissenschaftlicher und technischer Briefwechsel . [preprint]