For the compressible Euler equations, numerical stabilization (upwinding) for explicit methods for a long time has been inspired by Riemann problems, i.e. high-Mach compressible phenomena. In the limit of low Mach number, the compressible Euler equations become incompressible. It has been recently noticed that this kind of stabilization introduces strong numerical errors for low Mach number flow. Modifications of Riemann solvers have been proposed which allow usage of coarse grids in the low Mach number regime, but the modifications are ad hoc and generally affect stability. In the talk I will show new approaches to achieving all-Mach number methods which are stable, and can be derived from first principles. The methods are truly multi-dimensional, reflecting the fact that incompressible flow is only nontrivial in multiple spatial dimensions.