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THREE CHARACTERIZATIONS OF STRICT COHERENCE ON INFINITE-VALUED EVENTS

Published online by Cambridge University Press:  04 October 2019

TOMMASO FLAMINIO
TOMMASO FLAMINIO*
Affiliation:
IIIA - CSIC, Campus de la Universidad Autònoma de Barcelona
*
*IIIA - CSIC CAMPUS DE LA UNIVERSIDAD AUTÒNOMA DE BARCELONA S/N 08193 BELLATERRA, SPAIN E-mail: tommaso@iiia.csic.es
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Abstract

This article builds on a recent paper coauthored 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 Łukasiewicz logic.

Keywords

Primary 03B48Secondary 60A0506D3506F2052B11de Finetti’s coherencestrict coherencefaithful statesMV-algebrasŁukasiewicz logic
Type
Research Article
Information
The Review of Symbolic Logic , Volume 13 , Issue 3 , September 2020 , pp. 593 - 610
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Copyright
Copyright © Association for Symbolic Logic 2019 

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