  Examples like this have led some investigators to think of limiting relations as forming a kind of new rule of inference which would allow one to more closely connect the physicists’ sense of reduction with that of the philosophers’. Fritz Rohrlich, for example, has argued that NM reduces (in the philosophers’ sense) to SR because the mathematical framework of SR reduces (in the physicists’ sense) to the mathematical framework of NM. The idea is that the mathematical framework of NM is “rigorously derived” from that of SR in a “derivation which involves limiting procedures.” (Rohrlich 1988, 303) Roughly speaking, for Rohrlich a “coarser” theory is reducible to a “finer” theory in the philosophers’ sense of being rigorously deduced from the latter just in case the mathematical framework of the finer theory reduces in the physicists’ sense to the mathematical framework of the coarser theory. In such cases, we will have a systematic explication of the idea of “strong analogy” to which Schaffner appeals in his model of philosophical reduction. The corrected theory \(T'^*\) in this context is the perturbed Newtonian theory as expressed in the Taylor expansion given above. The “strong analogy” between Newtonian theory \(T'\) and the corrected \(T'^*\) is expressed by the existence of the regular Taylor series expansion.