This seems to be more indicative that if one thinks hard enough about any world view it will seem to be useful and make sense. This is essentially as much of an argument to take Aristotle seriously as C. S. Lewis's claim that "I believe in Christianity as I believe that the sun has risen: not only because I see it, but because by it I see everything else." is an argument to take Christianity seriously.

This doesn't answer the question or even the type of question as phrased by Viliam. The claim isn't that you can use a systematic approach to make your own thoughts ordered in some fashion, but how to make the claims pay rent.