Logics of Imprecise Comparative Probability

, &
International Journal of Approximate Reasoning 132:154-180 (2021)
  Copy   BIBTEX

Abstract

This paper studies connections between two alternatives to the standard probability calculus for representing and reasoning about uncertainty: imprecise probability andcomparative probability. The goal is to identify complete logics for reasoning about uncertainty in a comparative probabilistic language whose semantics is given in terms of imprecise probability. Comparative probability operators are interpreted as quantifying over a set of probability measures. Modal and dynamic operators are added for reasoning about epistemic possibility and updating sets of probability measures.

Categories

Keywords

Reprint years

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,672

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

A note on cancellation axioms for comparative probability.Matthew Harrison-Trainor, Wesley H. Holliday & Thomas F. Icard - 2016 - Theory and Decision 80 (1):159-166.
Imprecise probability in epistemology.Elkin Lee - 2017 - Dissertation, Ludwig–Maximilians–Universitat
Editorial.Jon Williamson - manuscript
Imprecise probability trees: Bridging two theories of imprecise probability.Gert de Cooman & Filip Hermans - 2008 - Artificial Intelligence 172 (11):1400-1427.
An appraisal of comparative probability.Vincenzo Fano - unknown
A Counterexample to Three Imprecise Decision Theories.Seamus Bradley - 2018 - Theoria 85 (1):18-30.
Inferring Probability Comparisons.Matthew Harrison-Trainor, Wesley H. Holliday & Thomas Icard - 2018 - Mathematical Social Sciences 91:62-70.
Demystifying Dilation.Arthur Paul Pedersen & Gregory Wheeler - 2014 - Erkenntnis 79 (6):1305-1342.
Bruno de Finetti and Imprecision.Paolo Vicig & Teddy Seidenfeld - unknown
Evidentialism, Inertia, and Imprecise Probability.William Peden - forthcoming - The British Journal for the Philosophy of Science:1-23.
Transitive reasoning with imprecise probabilities.Angelo Gilio, Niki Pfeifer & Giuseppe Sanfilippo - 2015 - In S. Destercke & T. Denoeux (eds.), Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2015). Springer LNAI 9161. pp. 95-105.
Quasi-Bayesian Analysis Using Imprecise Probability Assessments And The Generalized Bayes' Rule.Kathleen M. Whitcomb - 2005 - Theory and Decision 58 (2):209-238.
Causation, Probability, and the Continuity Bind.Anthony F. Peressini - 2017 - British Journal for the Philosophy of Science 69 (3):881-909.
Roger white’s argument against imprecise credences.Dylan Dodd - 2013 - British Journal for the Philosophy of Science 64 (1):69-77.
Logics with the Qualitative Probability Operator.Zoran Ognjanović, Aleksandar Perović & Miodrag Rašković - 2008 - Logic Journal of the IGPL 16 (2):105-120.

Analytics

Added to PP
2021-09-28

Downloads
43 (#368,161)

6 months
13 (#191,115)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

Yifeng Ding
Peking University
Wesley H. Holliday
University of California, Berkeley
Thomas Icard
Stanford University

Citations of this work

A Simple Logic of Functional Dependence.Alexandru Baltag & Johan van Benthem - 2021 - Journal of Philosophical Logic 50 (5):939-1005.

Add more citations

References found in this work

Context Probabilism.Seth Yalcin - 2012 - In M. Aloni (ed.), 18th Amsterdam Colloquium. Springer. pp. 12-21.

Add more references