That is true, mathematics is different in the substance of the debate. In archeology, to my cursory understanding as a non-archeologist, the debate has been ab

That is true, mathematics is different in the substance of the debate. In archeology, to my cursory understanding as a non-archeologist, the debate has been about whether the evidence for pre-Clovis human habitation in the Americas can be accepted as valid. There is a wide gray area where acceptance comes down to subjective views, and if it is so, then authority affects what consensus is reached. If enough evidence is amassed, then we presumably shift out of the grey area and authority becomes unimportant in the consensus.