Jacques Duparc
Web site: Web site: https://sma.epfl.ch/
Teaching & PhD
Teaching
Mathematics
Courses
Set theory
Set Theory as a foundational system for mathematics. ZF, ZFC and ZF with atoms. Relative consistency of the Axiom of Choice, the Continuum Hypothesis, the reals as a countable union of countable sets, the existence of a countable family of pairs without any choice function.
Mathematical logic
Field of mathematics with close connections to the foundation of mathematics and theoretical computer science. The course is centered on 1st order logic and the intricate relations between syntax and semantics.
Gödel and recursivity
Gödel incompleteness theorems and mathematical foundations of computer science