Nonclassical Probability and Convex Hulls

Erkenntnis 82 (1):87-101 (2017)
  Copy   BIBTEX

Abstract

It is well known that the convex hull of the classical truth value functions contains all and only the probability functions. Work by Paris and Williams has shown that this also holds for various kinds of nonclassical logics too. This note summarises the formal details of this topic and extends the results slightly.

Categories

Keywords

Reprint years

DOI

10.1007/s10670-016-9807-9

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 94,045

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

Nonclassical Probability, Convex Hulls, and Dutch Books.Michał Gil Sanchez, Zalán Gyenis & Leszek Wroński - forthcoming - Episteme:1-21.
Heterodox Probability Theory.Peter Forrest - 2002 - In Dale Jacquette (ed.), A Companion to Philosophical Logic. Malden, MA, USA: Wiley-Blackwell. pp. 582–594.
Probability and nonclassical logic.Robert Williams - 2016 - In Alan Hájek & Christopher Hitchcock (eds.), The Oxford Handbook of Probability and Philosophy. Oxford: Oxford University Press.
Probability Sequent Calculi and Entropy Based Nonclassical Logics Classification.Marija Boričić - 2019 - Bulletin of Symbolic Logic 25 (4):446-447.
Probability and Symmetric Logic.Michał Gil Sanchez, Zalán Gyenis & Leszek Wroński - 2022 - Journal of Philosophical Logic 52 (1):183-198.
Dutch Books and nonclassical probability spaces.Leszek Wroński & Michał Tomasz Godziszewski - 2017 - European Journal for Philosophy of Science 7 (2):267-284.
Gradational accuracy and nonclassical semantics.J. Robert G. Williams - 2012 - Review of Symbolic Logic 5 (4):513-537.
Nonclassical Truth with Classical Strength. A Proof-Theoretic Analysis of Compositional Truth Over Hype.Martin Fischer, Carlo Nicolai & Pablo Dopico - 2023 - Review of Symbolic Logic 16 (2):425-448.
Logic, probability, and quantum theory.Arthur I. Fine - 1968 - Philosophy of Science 35 (2):101-111.
From Classical to Intuitionistic Probability.Brian Weatherson - 2003 - Notre Dame Journal of Formal Logic 44 (2):111-123.

Analytics

Added to PP
2016-05-06

Downloads
69 (#231,411)

6 months
18 (#191,188)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Seamus Bradley
London School of Economics (PhD)

Citations of this work

Probability and Symmetric Logic.Michał Gil Sanchez, Zalán Gyenis & Leszek Wroński - 2022 - Journal of Philosophical Logic 52 (1):183-198.
Two Forms of Inconsistency in Quantum Foundations.Jer Steeger & Nicholas Teh - 2021 - British Journal for the Philosophy of Science 72 (4):1083-1110.

Add more citations

References found in this work

Modal Logic: Graph. Darst.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2001 - New York: Cambridge University Press. Edited by Maarten de Rijke & Yde Venema.
A Mathematical Theory of Evidence.Glenn Shafer - 1976 - Princeton University Press.
Modal Logic.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2001 - Studia Logica 76 (1):142-148.
Modal Logic.Marcus Kracht - 2002 - Bulletin of Symbolic Logic 8 (2):299-301.
Gradational accuracy and nonclassical semantics.J. Robert G. Williams - 2012 - Review of Symbolic Logic 5 (4):513-537.

View all 14 references / Add more references