 In the 19th century, Cauchy, Bolzano, Weierstrass, Dedekind and Cantor sought to establish foundations for real analysis that gave no role to infinitesimals: in what became the canonical account of the calculus, Cantorian set theory and the \(\epsilon\)-\(\delta\) formalization of the notion of a limit described in section  3.2  allowed for a fully rigorous development of real analysis.