@Aedes,
Aedes wrote:Any established theory is built on a mountain of microscopic, reductionist research.
I finished up some reading on reduction. I have always thought of it in the terms you used, Aedes, but apparently philosophers use the term "reduction" in a way exactly opposite to that used in math & science. There is an ironic humor in that.
The piece I enjoyed the most was by Feyerabend, but he probably goes a bit too far - much like Kuhn's claims of incommensurability. I wonder if people have to take such an extreme position to make their point.
In the end, though, Nickles probably has the best position by saying that no universal rule of reduction can be formulated. Every case is different, and they all reduce theories in different ways.