9 papers
Les nombres de Cuesta-Conway comme extension des ordinaux de Cantor: une courte introduction aux nombres surréels
Labib Haddad
On Cuesta-Conway numbers as an extension of Cantor's ordinals: A short introduction to surreal numbers. The class of Cuesta-Conway numbers, the surreal numbers, can be defined simp…
Un lemme combinatoire de H. B. Neumann
Labib Haddad
We give a notably simpler and shorter proof of H. B. Neumann's result which is stated, cursorly, like this. For any well-ordered subset, A, of a totally ordered semigroup, the set…
Des critères de transcendance inspirés par un texte de kolberg daté de 1962. II
Labib Haddad
Transcendence criteria inspired by Kolberg's paper dated 1962. This is the second part of a note about Kolberg's proof that the values of the sums of a class of certain power serie…
Des critères de transcendance inspirés par un texte de Kolberg daté de 1962
Labib Haddad
Transcendence criteria inspired by Kolberg's paper dated 1962. In his paper dated 1962, Kolberg states and proves a theorem on the transcendence of the values of the sums of a clas…
A propos des nombres de Conway: Lettre à un ami
Labib Haddad
About Conway's surreal numbers: A letter to a friend (written in French). In memoriam John Horton Conway.
Francis Bessière Un nouveau regard sur les fondements
Labib Haddad
We draw attention to a manuscript submitted to the HAL Open Archives by Francis Bessière, where he tries to base mathematics on a translative theory that could be shown consistant…