# The History of the History of Mathematics

## Case Studies for the Seventeenth, Eighteenth and Nineteenth Centuries

## Benjamin Wardhaugh

# The Quarrel on the Invention of the Calculus in Jean E. Montucla and Joseph Jérôme de Lalande, Histoire des Mathématiques (1758/1799–1802) 73

## Extract

Niccolò Guicciardini Università di Bergamo The Quarrel on the Invention of the Calculus in Jean E. Montucla and Joseph Jérôme de Lalande, Histoire des Mathématiques (1758/1799–1802) The dispute between Newton and Leibniz concerning priority in the invention of the calculus is a very well researched chapter in the history of mathematics. This notorious squabble has never ceased in fact to attract a somewhat morbid attention. From the point of view of the historiogra- phy of mathematics, it is a very promising case study, not only because the amount of material concerning the dispute allows for comparative analyses of the various historical narratives woven across three centuries, but also because dif ferent historians have examined the question from dif ferent viewpoints.1 Nationalistic issues, of course, have played a prominent role. Even more interestingly, perhaps, what is at stake here is the question of what we mean by ‘inventing the calculus’, and of what criteria should be 1 A good starting point for gathering information on Newton’s biographies is Robert Ilif fe and Rebekah Higgitt, eds, Early biographies of Isaac Newton, 1660–1885 (2 vols, London: Pickering & Chatto, 2006). Rebekah Higgitt’s chapter in the present volume provides an analysis of the plurality of images of Newton as a mathematician that emerge from his biographies throughout the centuries. As she observes, the priority dispute is a theme which touched not only Newton’s achievement, but that was also instrumental in defining a narrative on his morality and personality. One of...

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