Not related to hypotheses but most axiomatic systems and the apparatus of deduction that accompanies them would probably qualify as they are not scientific (by

Not related to hypotheses but most axiomatic systems and the apparatus of deduction that accompanies them would probably qualify as they are not scientific (by the circular definition that anything that uses the scientific method is scientific). The most notable example would be mathematics. I'd argue that mathematics provides knowledge (as in it helps me understand stuff better).