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

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