Projects
Reflections on Necessity and Normativity in Wittgenstein: A Philosophical Investigation into ‘the Must’ in Ethics and Mathematics. Vrije Universiteit Brussel
However, these are scarce and dense, which has led scholars to conclude that if they are to allow for an account of his (meta)ethical thought this should be done in concordance with the rest of his work. Yet, despite Wittgenstein’s own suggestions, few have tried to do so using his remarks ...
Combining mathematics and physics beyond the introductory level: the case of partial differential equations KU Leuven
Lesson study as a vehicle for improving achievement in mathematics (LESSAM). University of Antwerp
What picture books do Flemish preschool teachers use in shaping mathematics instruction for what purpose and in what ways? HOGENT
Reflection Spectra: Predicative Mathematics and Beyond Ghent University
By work of Austrian logician Kurt Gödel in the 1930s, no sound and
sufficiently strong computably enumerable arithmetic theory can
prove its own consistency. Soon after Gödel's work, G. Gentzen
provided an almost finitary proof of the consistency of Peano
Arithmetic, with only one extraneous component: a use of transfinite
induction up to a suitable ordinal number.
Ordinal analysis is the branch of proof ...
The Epistemology of Data Science: Mathematics and the Critical Research Agenda on Data Practices Vrije Universiteit Brussel
Logic, stability and perturbation theory: novel bridges between the foundations of mathematics and operator algebras KU Leuven
As all other sciences rely on mathematics, I think of science as a building, with the ground floor being made up by mathematics. As we want to keep the building in good shape so it can grow in a creative, new and strong way, we need to take care of the foundations. Logic represents these foundations. It provides the framework for mathematics (consisting of the assumptions we work with) and general abstract tools for considering mathematical ...