Are genuine divergences possible in logic?

Abstract

The present essay works, under the light of certain results from the paraconsistent lógic, specifically from the systems of M. and N. of Bunder, the resulting arguments from the Philosophy of Logic of Quine, against the possibility of a genuine divergence in logic. As opposed to Quine, we show that it is possible to obtain a genuine divergence, using the usual connectives with their classical meaning and without trivializing the distinction between truth/falsehood. Finally, we consider the contribution of Lukasiewicz of the interpretation of a known and difficult passage from the Second Analytics, that is, A11, 77a 10-22, which talks about the possibility of the construction of valid syllogisms (not true), with contradictory premises.