文摘
The notion of stable coherence has been recently introduced to characterize coherent assignments to conditional many-valued events by means of hyperreal-valued states. In a nutshell, an assignment, or book, \(\beta \) on a finite set of conditional events is stably coherent if there exists a coherent variant \(\beta '\) of \(\beta \) such that \(\beta '\) maps all antecedents of conditional events to a strictly positive hyperreal number, and such that \(\beta \) and \(\beta '\) differ by an infinitesimal. In this paper, we provide a characterization of stable coherence in terms of layers of zero probability for books on Łukasiewicz logic events.