The History and Philosophy of Science Program
Subject: Philosophical implications of the probability space
Supervisor: Prof. Orly Shenker
Abstract: In my research I analyze the main philosophical implications of the probability space. This mathematical structure is the core part of Kolmogorov's theory and is the dominant structure being used (sometimes implicitly) when calculating probabilities. Hence, it can said that the probability space is applicatively accepted by almost all the different interpretations of probability theory as an appropriate mathematical formalism of the notions: 'probability' and 'event'. However, accepting this formalism has ontological consequences on the possible interpretations which should be taken into consideration. Besides analyzing these consequences, I will also attempt to show how an analysis of the probability space structure helps to clarify major issues in philosophy of probability such as the Indifference Principle and the Reference Class Problem.
Presidential Stipend 2013/14