John Wallis, Savilian professor of geometry at Oxford from 1649 to 1703, engaged in a number of disputes with French mathematicians: with Fermat (in 1657--1658), with Pascal (in 1658--1659), with Dulaurens (in 1667--1668), and against Descartes (in the early 1670s). This paper examines not only the mathematical content of the arguments but also Wallis's various strategies of response. Wallis's opinion of French mathematicians became increasingly bitter, but at the same time he was able to use the confrontations to promote his own reputation.
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