I need to make it clear what I mean by "explanation systems". I mean any system of thought that can make reasonably accurate predictions about a phenomenon. To illustrate, I can think of 2:

- logic/mathematical/rule-based: For example, Newtons laws of motion and gravity. While Newton admitted his laws do not actually tell us what gravity IS, they make excellent predictions.

- introspection: to determine what another person would do in a situation, assume you are there and guess what you would do. You do not need to understand you own intuitions and motivations to get an answer here, and it is very often correct. Note: this works on humans and animals, but humanity does, incorrectly, use this method on nature: the sky is angry, it is not raining, I will do something to make the sky not angry.

One of the reasons I ask this is in regard to qualia. People don't think rule based logic can explain qualia, but if it can not, is there any explanatory system know to man that would?

However the question is a general question (not just about qualia). What kinds of explanations are useful?