I'm not sure what advantage you think to obtain from inferior, but consistent, principles. For example, the "like cures like" principle is used to ill effect in

I'm not sure what advantage you think to obtain from inferior, but consistent, principles. For example, the "like cures like" principle is used to ill effect in many medical systems around the world. The only reason to support such a practice is prejudice - the conviction that the conclusions reached are, by themselves, superior merely because of the methodology used to produce them. I don't advocate jumbling the methods of obtaining knowledge (although I think the notion of methodological purity in science is incorrect, I think the consistent principle in science is the establishment of authority, and not the methods applied by that authority, which change over time) - naturally every system must have its own internal consistency, or else it would not be a system. I advocate instead something close to what you are saying. It is fine to read scientific literature, but it is also useful to recognize that science can't tell you everything, and that its epistemology more or less fails at discovering certain things.