Data di Pubblicazione:
2018
Citazione:
Strict coherence on many valued-events / T. Flaminio, H. Hosni, F. Montagna. - In: THE JOURNAL OF SYMBOLIC LOGIC. - ISSN 0022-4812. - 83:1(2018 Mar), pp. 55-69. [10.1017/jsl.2017.34]
Abstract:
We investigate the property of strict coherence in the setting of many-valued logics. Our main results read as follows: (i) a map from an MV-algebra to [0,1] is strictly coherent if and only if it satisfies Carnap’s regularity condition, and (ii) a [0,1]-valued book on a finite set of many-valued events is strictly coherent if and only if it extends to a faithful state of an MV-algebra that contains them. Remarkably this latter result allows us to relax the rather demanding conditions for the Shimony-Kemeny characterisation of strict coherence put forward in the mid 1950s in this Journal.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
probability logic; coherence; mv-algebras
Elenco autori:
T. Flaminio, H. Hosni, F. Montagna
Link alla scheda completa: