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Barseghyan illustrates the necessary mosaic split theorem with the example of the French and English physics communities circa 1730, at which time the French accepted the Cartesian physics and the English accepted the Newtonian physics.[[Barseghyan (2015)|p.203]] These communities would both initially accepted the Aristotelian-medieval physics due to their mutual acceptance of the Aristotelian-medieval mosaic until the start of the eighteenth century[[Barseghyan (2015)|p.210]] but clearly had different mosaics within a few decades. According to the second law both the Cartesian and Newtonian physics must have satisfied the methods of the Aristotelian-medieval mosaic in order to have been accepted, but since both shared the same object and posited radically different ontologies they were incompatible with one another and could not both be accepted, per the second law. The necessary result was that the unified Aristotelian-medieval community split and the resulting French and English communities emerged, each with a distinct mosaic.
|Resource=Barseghyan (2015)
|Prehistory=Like the broader topic of the [[Mechanism of Mosaic Split]] the matter of possible mosaic split has classically been regarded as a case of divergent belief systems in communities that arises necessarily from a set of circumstances. Consequently the most directly relevant literature comes from the positivist era, though some relevant work was also done in the post-positivist era.
 
The most direct early source suggesting that there are circumstances in which communities necessarily obtain different beliefs about scientific subjects is the work of [[Karl Popper]], whose system of conjectures and refutations suggests that progress in science is obtained by challenging our currently accepted views by trying to refute them.[[Popper (1963)|p.68]] It follows that if there are situations in which a community has two theories that are both resistant to refutation then both should be accepted. This model - whereby there is a definite algorithmically determined method for theory assessment - was dominant among positivist philosophers and would prevail until the historical turn, when a model more closely reminiscent of the [[Possible Mosaic Split Theorem]] emerged.[[Laudan, Laudan, and Donovan (1988)|p.5]]
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