O surgimento da abordagem conjuntista em matemática

Abstract

This paper reviews some of the central ideas that the author has offered in an attempt to analyze the rise of the set-theoretical approach in mathematics, from the 1850s to the 1920s. We focus on viewpoints that may be regarded as representative of new directions in the recent historiography of mathematics, such as emphasis on research schools and attention to the institutional contexts. To complement the rather well-known history of the work of Cantor and Dedekind, we discuss mainly the pioneering contribution of Riemann, and the guiding role played by Hilbert at the turn of the century.