A Methodological Shift in Favor of (Some) Paraconsistency in the Sciences

Many have contended that non-classical logicians failed at providing evidence of paraconsistent logics being applicable in cases inconsistency toleration the sciences. With this mind, my main concern here is methodological. I aim addressing question how should we study and explain inconsistent science, using tools, without ruining into most common methodological mistakes. My response divided two parts: first, provide some guidance on to approach science; second, focus a peculiar type formal methodologies for scrutiny reasoning, Paraconsistent Alternative Approach (henceforth, PAA) argue PAA can enhance more accurate understanding sensible reasoning contexts.