Three characterizations of strict coherence on infinite-valued events

Tommaso Flaminio

doi:10.1017/S1755020319000546

Three characterizations of strict coherence on infinite-valued events

Tommaso Flaminio

Department of Computer Science

Research output: Contribution to journal › Article › Research

4 Citations (Scopus)

Abstract

© 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.

Original language	English
Journal	Review of Symbolic Logic
DOIs	https://doi.org/10.1017/S1755020319000546
Publication status	Published - 1 Jan 2019

Keywords

De Finetti's coherence
faithful states
Lukasiewicz logic
MV-algebras
strict coherence

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10.1017/S1755020319000546

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AB - © 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.

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KW - faithful states

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KW - MV-algebras

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ER -

Three characterizations of strict coherence on infinite-valued events

Abstract

Keywords

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