The Feynman's path integral representation gives the quantum amplitude to go from point $x$ to point $y$ as an integral over all paths.
How is that idea consistent with the uncertainty principle that is considered to be fundamental? That is, having a definite, initial point $x$ is impossible for a physical particle.
Probability distributions are allowed but definite values are not. Thus, can we replace definite points with well-localized distributions, together with the finite expectation values of observables, to make more physical/mathematical sense?
Can we argue that the Feynman's picture is not "real" but only a way of interpreting the integral-like sum? A related idea might be the Ptolemy's picture of planetary epicycle motion that also gave correct results but for wrong reasons. A similar issue with the Huygens' principle.