Logic is a science. Before science can be characterized as "serious inquiry" (not systematized knowledge), several well-known facts must be digested, e.g., that we all have beliefs, that we are under a compulsion to believe what we do believe, etc.
Inquiry, Logic (modal see Modality), classification of Science
pp. 1-3, with 3 pp. of variants pp. 2-3, with one discarded page, of another attempt.