I think one thing that humans have not come to terms with is the possibility that some fundamental fields are essentially dead in terms of possible new discoveries that most people will care about. That doesn't mean that there's nothing left to do. There are minor details in some fields but they are more like engineering problems. Physics may be one of those fields and I certainly think math is as well. However, it's…
Not to mention that both QM and GR in themselves have inconsistencies or infinities. GR famously has a singularity in the center of a black hole, which means the math doesn't actually apply there. QM has the measurement problem, and the (probably related) problem of making the laws of motion linear, when we can clearly see highly non-linear behavior in reality.