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|Formulated Year=2015
|Description=Harder's reformulation of the Zeroth Law states that “at any moment of time, the elements of the mosaic are compatible with each other”. ''Compatibility'' is a broader concept than strict logical ''consistency'', and is determined by the compatibility criteria of each mosaic.
 
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These criteria are employed [[method|methods]], and therefore can change over time according to [[The Third Law (Barseghyan-2015)|the law of method employment]]. They dictate the standard that other theories and methods must meet so as to remain compatible with each other. The compatibility criterion of the contemporary scientific mosaic is believed to be along the lines of a non-explosive paraconsistent logic.[[CiteRef::Priest, Tanaka, and Weber (2015)]] This logic allows known contradictions, like the contradiction between signal locality in special relativity and signal non-locality in quantum mechanics to coexist without implying triviality. The compatibility criterion can be understood as a consequence of fallibilism about science. Even a community's best theories are merely truth-like, not strictly true. Our current compatibility criteria appears to be formulated as such. It is very likely that our current compatibility criteria has not always been the one employed. Discovery of the kind of compatibility criteria contained in the current and historical mosaics is an important empirical task for observational scientonomy.
Therefore, we cannot stipulate strict non-contradiction in a descriptive scientonomic theory, since at least one historical example contradicts it. Based on these two challenges to the law of consistency, Rory Harder proposed to reformulate the zeroth law as the law of compatibility. This new formulation was accepted by the Scientonomy community.
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