- (6) ?v = iR
says one current improvement together a cable translates to newest moments a good constant resistance. This has a comparable statistical function as the Poiseuilles laws (to have best drinks):
- (7) ?p = V?k
and that says that stress distinction with each other a pipeline means the fresh volumetric move rates times a constant. These two systems shall be represented by the a familiar picture. While you are specialized analogy is related to help you well-known analytical construction, it has to not simply for nomic isomorphism (Bartha 2010: 209). The idea of official example generalizes so you’re able to cases where there was a familiar mathematical design between designs for 2 expertise. Bartha now offers a more liberal definition (2010: 195): “A couple of possess was officially equivalent whenever they reside related ranks into the formally analogous theories. Eg, mountain regarding concept regarding sound represents colour from the theory out of light.”
By comparison, question analogy contains what Hesse phone calls “observable” otherwise “pre-theoretic” similarities. Similarities ranging from echoes (sound) and you can reflection (light), for example, had been acknowledged well before we’d one outlined ideas on the such phenomena. We have both point and official analogies anywhere between sound and light, and it is tall to possess Hesse that the former try separate of one’s latter.
There are reasons to not ever take on Hesses dependence on procedure analogy, construed inside thin means. Very first, it’s noticeable you to definitely formal analogies are the first faltering step during the of several crucial inferences. Which are often possible for the math, a field in which matter example, from inside the Hesses experience, plays zero part at all. Analogical arguments considering official analogy have also most important inside the physics (Steiner 1989, 1998). “Speaking of lateral matchmaking out-of resemblance between services of things into the the reason and the address” の続きを読む