Does anyone know of a good historical account of the Least Upper Bound Property?
I am specifically interested to find out if Gauss knew/discovered some version of it.
2026-04-02 06:24:57.1775111097
History of least upper bound property
104 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
You have a very good source of information about the supremun in Chapter XII, Real Numbers, of "Elements of History of Mathematics" by Nicolas Bourbaki in which the name of Simon Stevin (1548-1620) is noted as the first to conceive clearly the theorem of Bolzano (1781-1848).
And a very interesting study of the subject in http://www.redalyc.org/articulo.oa?id=33560301
(This is the paper in Spanish, “Completitud y continuidad revisadas a través de 23 siglos”, por Analía Bergé and Carmen Sessa; Revista Latinoamericana de Investigación en Matemática Educativa).