Henri Lebesgue
Henri Léon Lebesgue (28 June 1875 – 26 July 1941) was a French mathematician most famous for his theory of integration, which generalized the traditional Riemann integral and revolutionized modern mathematical analysis and measure theory.
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Quotes
[edit]- Au cours de cette étude je formulais cet énoncé: la projection d'un ensemble mesurable B est toujours un ensemble mesurable B. La démonstration était simple, courte, mais fausse. ... l'origine de tous les problèmes dont il va s'agir ici est une grossière erreur de mon Mémoire sur les fonctions représentables analytiquement. Fructueuse erreur, que je fus bien inspiré de la commettre!
- Translation: In the course of this study I formulated this statement: the projection of a measurable B-set is always a measurable B-set. The proof was simple, short, but false. ... The origin of all the problems to be dealt with here is a gross error in my Memoir on analytically representable functions. Fruitful error, how well inspired I was to commit it!
- Henri Lebesgue, Preface to Nikolai Lusin's Leçons sur les ensembles analytiques et leurs applications (Paris: Gauthier-Villars, 1930), pp. xi-xii. Reflecting on a mistake he made in a 1905 paper, the correction of which by Mikhail Suslin in 1916 accidentally founded the entire field of descriptive set theory.
