Can Paraconsistency Replace Non-Monotonicity?

In this position paper we reconstruct and evaluate three arguments by Jean-Yves Béziau put forward to show that paraconsistent logics may replace non-monotonic logics in the analysis of situations what the latter were created for, namely updating of databases by increment of information. As originally put forward they might seem too colorful or unserious and easily dismissible, but they really call into question the foundations of non-monotonic logic. We will show that non-monotonic logic may go off well of Béziau’s challenging arguments, though.