Projects
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 ...
Convergence analysis and application of ADI schemes for partial differential equations from financial mathematics. University of Antwerp
Getting real about words and numbers. An enactive approach to language and mathematics. University of Antwerp
Convergence analysis and application of ADI schemes for partial differential equations from financial mathematics. University of Antwerp
Informal provability in mathematics as a partial notion. Ghent University
This research concerns philosophical accounts of informal provability as well as formal theories of this notion. I will investigate the problems that the current theories struggle with, including insufficient philosophical motivation. The second aim is to investigate the relation between theories of truth and the notion of informal provability. I will develop a theory of informal provability analogous to Kripke's theory of truth.
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The changing relationship between metaphysics, physics and mathematics. From Newton to Lagrange (1687-1788) Vrije Universiteit Brussel
An epistemological study of material models from practical mathematics in early modern natural philosophical debates Ghent University
We investigate how objects known from practical mathematics where appropriated by natural philosophers as models for natural inquiry. Relevant aspects of the objects’ behavior were isolated for an understanding of natural phenomena (in optics, mechanics or meteorology). Direct manipulations of the objects often played an important role to achieve this. We will also engage in the reconstruction of some experiments