4 problems

A cardinal $\kappa$ is measurable if it carries a nonprincipal $\kappa$-complete ultrafilter, and a normal ultrafilter is one satisfying the usual normality condition. Uniqueness c…

Let an estimation problem satisfy the unspecified conditions referred to in the source. Dowe's conjecture. Under certain conditions, only Bayesian estimation methods should be cons…

Let $(g_n)$ be a learning rule for binary classification. It is universally consistent if it is weakly consistent and strongly consistent for every probability measure $\mu$ on…

Let ${\rm I\Delta_0}$ denote bounded arithmetic, let ${\rm I\Delta_0+\bigwedge\Omega_j}$ be its extension by the conjunction of the axioms $\Omega_j$, and let ${\rm HCon}(T)$ expre…