November, Dan D (2018) The Indifference Principle, its Paradoxes and Kolmogorov's Probability Space. [Preprint]

Preview

Text The Indifference Principle, its Paradoxes and Kolmogorov's Probability Space - philsci-archive.pdf Download (267kB) | Preview

Abstract

In this paper I show that the validity of the Indifference Principle (IP) in light of its related paradoxes, is still an open question. I do so by offering an analysis of IP and its related paradoxes in the way they are manifested within the framework of Kolmogorov's probability theory. I describe the conditions that any mathematical formalization of IP must satisfy. Consequently, I show that IP's mathematical formalization has to be a set of constrains (C) on probability spaces which mathematically describe the same events. I claim that the question whether IP related paradoxes undermine the validity of IP depends on the fact whether such a C exist. Since currently there is no mathematical proof of the existence of such a C, nor of the impossibility of there being one, the validity of IP remains undecided.

---

Export/Citation:

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

Social Networking:

Share |

---

Item Type:	Preprint
Creators:	Creators Email ORCID November, Dan D danny.november@mail.huji.ac.il
Subjects:	Specific Sciences > Probability/Statistics
Depositing User:	Mr. Dan D November
Date Deposited:	15 Jan 2019 22:43
Last Modified:	15 Jan 2019 22:43
Item ID:	15591
Subjects:	Specific Sciences > Probability/Statistics
Date:	27 December 2018
URI:	https://philsci-archive.pitt.edu/id/eprint/15591

Available Versions of this Item

• The Indifference Principle, its Paradoxes and Kolmogorov's Probability Space. (deposited 15 Jan 2019 22:43) [Currently Displayed]
  • The Indifference Principle, its Paradoxes and Kolmogorov's Probability Space. (deposited 30 Jan 2019 19:34)

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item