Wronski, Leszek and Gyenis, Zalán and Cocchiaro, Mariangela Zoe (2025) Formal Consistency of the Principal Principle Revisited. [Preprint]

Text (Accepted in the European Journal for Philosophy of Science) PP_consistency_PHILSCI_updated.pdf - Accepted Version Available under License Creative Commons Attribution. Download (745kB)

Abstract

We rigorously describe the relation in which a credence function should stand to a set of chance functions in order for these to be compatible in the way mandated by the Principal Principle. This resolves an apparent contradiction in the literature, by means of providing a formal way of combining credences with modest chance functions so that the latter indeed serve as guides for the former.

Along the way we note some problematic consequences of taking admissibility to imply requirements involving probabilistic independence. We also argue, contra (Hawthorne et al., 2017), that the Principal Principle does not imply the Principal of Indifference.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Preprint
Creators:	Creators Email ORCID Wronski, Leszek leszek.wronski@uj.edu.pl 0000-0002-7152-4544 Gyenis, Zalán gyz@renyi.hu 0000-0003-2058-1255 Cocchiaro, Mariangela Zoe zoe.cocchiaro@yahoo.it 0000-0001-5328-325X
Additional Information:	Accepted for publication in the European Journal for Philosophy of Science
Keywords:	Principal Principle, chance, credence, admissibility, consistency, Principle of Indifference
Subjects:	Specific Sciences > Probability/Statistics
Depositing User:	Leszek Wronski
Date Deposited:	28 Jan 2025 17:55
Last Modified:	28 Jan 2025 17:55
Item ID:	24636
Subjects:	Specific Sciences > Probability/Statistics
Date:	22 January 2025
URI:	https://philsci-archive.pitt.edu/id/eprint/24636

Available Versions of this Item

• Formal Consistency of the Principal Principle Revisited. (deposited 22 Jan 2025 14:18)
  • Formal Consistency of the Principal Principle Revisited. (deposited 28 Jan 2025 17:55) [Currently Displayed]

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item