history of the exact sciences

The following papers are available at https://macdrive.mcmaster.ca/published/history-of-the-exact-sciences/

[NB: papers on the infinite, continuity, and infinitesimals may be found in https://macdrive.mcmaster.ca/published/papers-on-the-infinite/]

“Leibniz’s ‘Deriving the Laws of Motion from Abstract Principles’: Commentary, Text, and Translation,” with Osvaldo Ottaviani, Leibniz Review, Vol. 34, 2024, 123-138. [Deriving the Laws of Motion.pdf]

“Leibniz’s Principle of Equipollence and the Origins of his Dynamics”, Vorträge des XI. Internationalen Leibniz-Kongresses, 2023, ed. Wenchao Li, Charlotte Wahl, Sven Erdner, Bianca Carina Schwarze and Yue Dan, Band 1, 27-38. [Leibniz’s Principle of Equipollence.pdf]

“Leibniz as a Precursor to Chaitin’s Algorithmic Information Theory”, chapter 9 (153-176) in Information and the History of Philosophy, ed. Chris Meyns, London: Routledge, 2021. [IHP-ch9_arthur.pdf]

“Leibniz’s metaphysics of change: vague states & physical continuity”, pp. 299-322 in Thinking and Calculating. Essays on Logic, its History and its Philosophical Applications, in Honour of Massimo Mugnai, ed. Francesco Ademollo, Fabrizio Amerini, and Vincenzo De Risi, 2022. [Leibniz’s.Metaphysics.of.Change.pdf]

“Mario Bunge on causality: some key insights and their Leibnizian precedents”, chapter 11 (pp. 185-204) in Mario Bunge: A Centenary Festschrift, ed. Michael R. Matthews, Springer Verlag, 2019. [M.Bunge.on.Causality.pdf]

“On the mathematization of free fall: Galileo, Descartes and a history of misconstrual”,81-111 in The Language of Nature, volume 20 of Minnesota Studies in Philosophy of Science, ed. Geoffrey Gorham, Benjamin Hill, Edward Slowik and C. Kenneth Waters, 2016 [Mathematization.of..FreeFall.pdf]

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

“Leibniz’s Theory of Space”, Foundations of Science, 18, 3 (a special edition on 17th C. space-time, ed. Karin Verelst and Maarten Van Dyck), 499-528, 2013.[L’sTheoryofSpace.pdf]“

Leibniz’s Mechanical Principles (c. 1676): Commentary and Translation”, Leibniz Review, 23, 101-116, 2013. [Arthur Mech. Principles 2013 offprint .pdf]

“Beeckman, Descartes and the Force of Motion”, Journal for the History of Philosophy, 45, no. 1, 1-28; January, 2007. [BeeckmanForce.pdf]

“Newton’s Fluxions and Equably Flowing Time,” Studies in History and Philosophy of Science, 28, no. 2, 323-351, June 1995. [NewtonsFluxionsandEquablyFlowingTime.pdf]

The following papers are also available as indicated:

“Leibniz and Quantum Theory”, a presentation for Leibniz and the Sciences, a workshop at the Max Planck Institute for Mathematics in the Sciences, Leipzig, 15th November, 2016 [pdf of slides].

“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]

“Time Atomism and Ash’arite Origins for Cartesian Occasionalism, Revisited” forthcoming in Asia, Europe and the Emergence of Modern Science: Knowledge Crossing Boundaries, ed. Arun Bala, Palgrave McMillan, 2012. [preprint]