Date(s) - 04/03/2014
2:00 pm - 3:30 pm
Lakatos (LAK) 2.06
Speaker: Miklos Redei (LSE)
Date/Time: March – 2pm in LAK2.06
Title: Defusing Bertrand’s Paradox
Abstract: The classical interpretation of probability together with the Principle of Indifference are formulated in terms of probability measure spaces in which the probability is given by the Haar measure. A notion called Labelling Invariance is defined in the category of Haar probability spaces, it is shown that Labelling Invariance is violated and Bertrand’s Paradox is interpreted as the very proof of violation of Labelling Invariance. It is argued that, under the interpretation of Bertrand’s Paradox suggested, the paradox does not undermine either the Principle of Indifference or the classical interpretation and is in complete harmony with how mathematical probability theory is used in the sciences to model phenomena.