3 papers
math.LO2026
On the computational properties of ambivalent sets and functions
Dag Normann, Sam Sanders
Examples of discontinuous functions already appear in the work of Euler, Abel, Dirichlet, Fourier, and Bolzano. A ground-breaking discovery due to Baire was that many discontinuous…
math.LO2024
On two recent extensions of the Big Five of Reverse Mathematics
Dag Normann, Sam Sanders
The program Reverse Mathematics in the foundations of mathematics seeks to identify the minimal axioms required to prove theorems of ordinary mathematics. One always assumes the ba…
math.LO2024
On sequential theorems in Reverse Mathematics
Dag Normann, Sam Sanders
Many theorems of mathematics have the form that for a certain problem, e.g. a differential equation or polynomial (in)equality, there exists a solution. The sequential version then…