An anomaly, a recalcitrant fact, may bode trouble for either a local part of a theoretical system, easily detached and replaced without significant revision to other parts of the system, or the theoretical system as a whole. If religious practices developed long before settled communities, then the findings at Gobekli Tepe would overturn a local part, and such a correction would be (comparatively) made without much fuss in the sociology of religion. However, if a fossilized rabbit was uncovered in Precambrian strata, this is not merely a problem for the theory of evolution. If it is in fact a fossilized rabbit in Precambrian strata, it knocks over central assumptions in radiometric dating, physics, and geology.
In the sea of anomalies, it is rational not to engage in a scientific revolution when anomalies are seemingly local rather than global; conversely, it is irrational to refuse a scientific revolution when anomalies are seemingly global rather than local. There remains a problem: the seriousness of anomalies is not currently subject to calculation, and may not in principle be calculated. Without a mathematical underpinning, a sociological, political, or methodological underpinning may be of service.