Title of the course: Transfinite induction and well-ordered sets.
Instructor: Dr. Denis Chéniot
Institution: Université de Marseille
Dates: 17-23 September 2018
Prerequisites: First year of university
Level: Advanced undergraduate   
Abstract: Examples of the use of transfinite induction in mathematics. Definition and elementary properties of the well-ordered sets. Proof and definition by transfinite induction, with an emphasis on the justification of the latter. Comparability of well-ordered sets. Proof of the well-orderability of every set (Zermelo's theorem).        
Language: EN