Data di Pubblicazione:
2013
Citazione:
Zero-probability and coherent betting : A logical point of view / T. Flaminio, L. Godo, H. Hosni (LECTURE NOTES IN ARTIFICIAL INTELLIGENCE). - In: Symbolic and Quantitative Approaches to Reasoning with Uncertainty / [a cura di] L. C. van der Gaag. - [s.l] : Springer, 2013. - ISBN 9783642390906. - pp. 206-217 (( Intervento presentato al 12. convegno ECSQARU : European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty : 8 through 10 July tenutosi a Utrecht (Netherlands) nel 2013 [10.1007/978-3-642-39091-3-18].
Abstract:
The investigation reported in this paper aims at clarifying an important yet subtle distinction between (i) the logical objects on which measure theoretic probability can be defined, and (ii) the inter- pretation of the resulting values as rational degrees of belief. Our central result can be stated informally as follows. Whilst all subjective degrees of belief can be expressed in terms of a probability measure, the converse doesn’t hold: probability measures can be defined over linguistic objects which do not admit of a meaningful betting interpretation. The logical framework capable of expressing this will allow us to put forward a pre cise formalisation of de Finetti’s notion of event which lies at the heart of the Bayesian approach to uncertain reasoning.
Tipologia IRIS:
03 - Contributo in volume
Keywords:
Bayesian approaches; formalisation; logical frameworks; point of views; probability measures; uncertain reasoning
Elenco autori:
T. Flaminio, L. Godo, H. Hosni
Link alla scheda completa:
Titolo del libro:
Symbolic and Quantitative Approaches to Reasoning with Uncertainty