 Reasoning may also turn defeasible when applied to an inconsistent stock of information, possibly obtained via different sources. Classical logic is not a viable option in such situations, since it allows us to derive just any consequence. A more cautious approach is to consider maximal consistent subsets (with respect to set inclusion) of the given information  (Rescher and Manor 1970).  For instance, where \(p\), \(q\), and \(s\) are logical atoms and \(\Gamma = \{ p \wedge q, \neg p \wedge q, s\}\), maximal consistent subsets of \(\Gamma\) are \(\Gamma_1 = \{p \wedge q, s\}\) and \(\Gamma_2 = \{\neg p \wedge q, s\}\). Various consequence relations have been defined on the basis of consistent subsets. We give two examples (see  Benferhat et al. (1997)  for more). 