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The Indifference Principle, its Paradoxes and Kolmogorov's Probability Space

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

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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.


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Item Type: Preprint
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November, Dan Ddanny.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

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