Statements made by R. P. Feynman and M. Gell-Mann indicate that these persons have cast doubts on the veracity of Quantum Electrodynamics and Quantum Chromodynamics. An analysis of elements of these theories and an examination of well established experimental data substantiate their claims. The independent experimental examples that are discussed herein are known for decades. Unfortunately, these examples as well as their problematic aspects are ignored by the current mainstream literature