 Wallace (2011) argues that renormalization group techniques have overcome the mathematical deficiencies of older renormalization calculational techniques (for more details on the renormalization group see Butterfield and Bouatta 2015, Fraser 2016, Hancox-Li (2015a, 2015b, 2017)). According to Wallace, the renormalization group methods put LQFT on the same level of mathematical rigor as other areas of theoretical physics. It provides a solid theoretical framework that is explanatorily rich in particle physics and condensed matter physics, so the impetus for axiomatic QFT has been resolved. Renormalization group techniques presuppose that QFT will fail at some short length scale, but the empirical content of LQFT is largely insensitive to the details at such short length scales. Doreen Fraser (2011) argues that renormalization group methods help articulate the empirical content of QFT, but the renormalization group has no significance for the theoretical content of QFT insofar as it does not tell us whether we should focus on LQFT or AQFT. James Fraser (2016) and Hancox-Li (2015b) argue that the renormalization group does more than provide empirical predictions in QFT. The renormalization group gives us methods for studying the behavior of physical systems at different energy scales, namely how properties of QFT models depend or do not depend on small scale structure. The renormalization group provides a non-perturbative explanation of the success of perturbative QFT. Hancox-Li (2015b) discusses how mathematicians working in constructive QFT use non-perturbative approximations with well controlled error bounds to prove the existence or non-existence of ultraviolet fixed points. Hancox-Li argues that the renormalization group explains perturbative renormalization non-perturbatively. The renormalization group can tell us whether certain Lagrangians have an ultraviolet limit that satisfies the axioms a QFT should satisfy. Thus, the use of the renormalization group in constructive QFT can provide additional dynamical information (e.g., whether a certain dynamics can occur in continuous spacetime) that a pure axiomatic approach does not.