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Prologue: de Finetti Coherence Criterion and Łukasiewicz Logic

  • D. Mundici
Chapter
Part of the Trends in Logic book series (TREN, volume 35)

Abstract

In this chapter we will see that coherent probability assessments on (not necessarily yes–no) events, such as those given by the measurement of physical observables, are convex combinations of valuations in Łukasiewicz propositional logic Ł\(_\infty.\)Besides familiarity with [1], the only prerequisite for this chapter is some acquaintance with the very basic properties of convex sets in euclidean space.

Keywords

Convex Combination Continuous Piecewise Linear Function Positive Linear Functional Coherence Criterion Regular Borel Probability Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of Mathematics “Ulisse Dini”University of FlorenceFlorenceItaly

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