© 2019 BMJ Publishing Group. All rights reserved. This paper builds on a recent article co-authored by the present author, H. Hosni and F. Montagna. It is meant to contribute to the logical foundations of probability theory on many-valued events and, specifically, to a deeper understanding of the notion of strict coherence. In particular, we will make use of geometrical, measure-theoretical and logical methods to provide three characterizations of strict coherence on formulas of infinite-valued Lukasiewicz logic.
|Journal||Review of Symbolic Logic|
|Publication status||Published - 1 Jan 2019|
- De Finetti's coherence
- faithful states
- Lukasiewicz logic
- strict coherence