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# Raffaele Pisano (Lille): “Analysing Mathematical Methodology in Newton’s Principia Geneva Edition ([1739–1742] 1822): The Relationship Physics–Mathematics”

## 25 June, 2:00 pm – 3:30 pm

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*Abstract:* The third edition of Newton’s (1642–1727) *Principia Mathematica Philosophiae Naturalis *(1726) adds some new important results to the two previous ones (1687, 1713). Between 1739–1742 a new deeply commented edition was published in Geneva (1822). The editors were the mathematicians: Thomas Le Seur (1703–1770) and François Jacquier (1711–1788), belonging to the *minim friars*. The Swiss scientist Jean–Louis Calandrini (1703–1758) gave a fundamental support to the edition with his physical notes on mechanics and mathematical describing. The comments (footnotes) are more extensive than the Newtonian text. This edition is composed by 3 vols., (the third one by 2 tomes). Newton’s propositions are detailed annotated and commented: mathematical and physical aspects, geometrical proofs, methodology, discoveries and advancements after Newton’s works are cleverly reported. Based on ours previous works – and a current project (Oxford University Press, 5 vols. expected 2020) – we mainly aim to understand and explain: 1) the genesis of the edition, how did the editors grasp and expound Newton’s methods? 2) the development of mathematical physics in the fertile period 1725–1740, 3) a comparison between the approach to mathematical physics of that epoch and Newton’s original one, 4) the role of the Geneva Edition, *why the necessity to publish a commented edition was felt?* In our talk, we present Newton’s Geneva edition and selected case studies on the relationship between physics and mathematics read by means of history and historical epistemology of science.