the only alternative method to dialectic that Rosa mentions on her website is formal deductive logic. formal logic may be appropriate as a foundation for a purely formal discipline such as mathematics, but it is not a sufficient method for any empirical science. if "dialectic" is supposed to be a methodology or helpful at discovery, then it can't be replaced with formal logic, which is not adequate for empirical discovery. for this the method of hypothesis and test is needed. but Rosa says this is "invalid". formal logic is helpful but not sufficient by itself.
I refer the honourable monomaniac to my earlier response to him.