While still an undergraduate he formed a league with John Herschel and Charles Babbage, to conduct the famous struggle of "d-ism versus dot-age," which ended in the introduction into Cambridge of the continental notation in the infinitesimal calculus to the exclusion of the fluxional notation of Sir Isaac Newton.
Its first meeting was held at York in 1831; and Brewster, along with Charles Babbage and Sir John F.
From 1828 to 1839 Babbage was Lucasian professor of mathematics at Cambridge.
The error was discovered, after eighteen years, by the explorations of Mr Babbage and Major Warburton in 1858, while Mr Stuart, about the same time, gained a more complete knowledge of the same district.
Much of what Babbage taught later on the subject of combined work is anticipated by Gioja.