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Synchronism of Method Rejection theorem (Barseghyan-2015) (view source)
Revision as of 18:02, 24 February 2023
, 18:02, 24 February 2023no edit summary
|Description=The principle of this theorem is first introduced in [[Barseghyan (2015)]]. We recall that "there are two somewhat distinct scenarios of method employment. In the first scenario, a method becomes employed when it strictly follows from newly accepted theories. In the second scenario, a method becomes employed when it implements the abstract requirements of some other employed method by means of other accepted theories. It can be shown that method rejection is only possible in the first scenario; no method can be rejected in the second scenario. Namely, it can be shown that method rejection can only take place when some other method becomes employed by strictly following from a new accepted theory; the employment of a method that is not a result of the acceptance of a new theory and is merely a new implementation of some already employed method cannot possibly lead to a method rejection."[[CiteRef::Barseghyan(2015)|p. 174]]
As per Barseghyan, it is important to note that "two implementations of the same method are not mutually exclusive and the employment of one doesn’t lead to the rejection of the other".[[CiteRef::Barseghyan(2015)|p. 176]] Barseghyan illustrates this nicely with the example of cell-counting methods (see below). Furthermore, he writes, "an employment of a new concrete method cannot possibly lead to a rejection of any other employed method. Indeed, if we take into account the fact that a new concrete method follows deductively from the conjunction of an abstract method and other accepted theories, it will become obvious that this new concrete method cannot possibly be incompatible with any other element of the mosaic. We know from the ''zeroth law'' that at any stage the elements of the mosaic are compatible with each other. Therefore, no logical consequence of the mosaic can possibly be incompatible with other elements of the mosaic. But the new method that implemented the abstract method is just one such logical consequence".[[CiteRef::Barseghyan(2015)|p. 176-7]]
According to ''the synchronism of method rejection theorem'', a [[Method|method]] becomes rejected only when some of the [[Theory|theories]] from which it follows become rejected. By the method rejection theorem, a method is rejected when other methods incompatible with it become employed. By the [[The Third Law (Barseghyan-2015)|Third Law]], this can happen only when some of the theories from which it follows are also rejected.[[CiteRef::Barseghyan (2015)|p. 177-183]]
