PhilSci Archive

Two Forms of Inconsistency in Quantum Foundations

Steeger, Jeremy and Teh, Nicholas (2018) Two Forms of Inconsistency in Quantum Foundations. [Preprint]

This is the latest version of this item.

[img]
Preview
Text
Two_Forms_of_Inconsistency_in_Quantum_Foundations.pdf

Download (481kB) | Preview

Abstract

Recently, there has been some discussion of how Dutch Book arguments might be used to demonstrate the rational incoherence of certain hidden variable models of quantum theory (Feintzeig and Fletcher 2017). In this paper, we argue that the 'form of inconsistency' underlying this alleged irrationality is deeply and comprehensively related to the more familiar 'inconsistency' phenomenon of contextuality. Our main result is that the hierarchy of contextuality due to Abramsky and Brandenburger (2011) corresponds to a hierarchy of additivity/convexity-violations which yields formal Dutch Books of different strengths. We then use this result to provide a partial assessment of whether these formal Dutch Books can be interpreted normatively.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Creators:
CreatorsEmailORCID
Steeger, Jeremyjsteeger@nd.edu0000-0003-2771-4145
Teh, Nicholasnteh@nd.edu
Additional Information: Forthcoming in BJPS.
Keywords: quantum contextuality, no-go arguments against hidden variable theories, Dutch Book arguments, Kochen-Specker, rational coherence, weak probability spaces
Subjects: Specific Sciences > Physics
Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Jeremy Steeger
Date Deposited: 13 Sep 2018 17:55
Last Modified: 13 Sep 2018 17:55
Item ID: 15018
Subjects: Specific Sciences > Physics
Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Date: 10 September 2018
URI: http://philsci-archive.pitt.edu/id/eprint/15018

Available Versions of this Item

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item