@incollection {Carnielli,
author = {Tommaso Flaminio and Llu\'is Godo and Sara Ugolini and Francesc Esteva},
title = {An approach to inconsistency-tolerant reasoning about probability based on {\L}ukasiewicz logic},
abstract = "In this paper we consider the probability logic over {\L}ukasiewicz logic with rational truth-constants, denoted FP(RPL), and we explore two possible approaches to reason from inconsistent FP(RPL) theories on classical events in a non-trivial way. The first one amounts to replace the logic RPL, that is explosive, by its paraconsistent companion RPL$^\leq$. The second one consists of suitably weakening the formulas in an inconsistent theory $T$, depending on the degree of inconsistency of $T$. We also discuss the possibility of applying a similar approach to reason about probability over the paraconsistent logic {\bf RCi} along the lines of Bueno-Soler and Carnielli's approach to paraconsistent probability.",
Booktitle = {Volume in Honour of Walter Carnielli},
Editor = {H. Antunes and A. Rodrigues and A. Roque},
year = "In Press",
Publisher = {Springer}
}