Biased Coins A model for higher-order probabilities [chapter]

Jeanne Peijnenburg, David Atkinson
2014 European Philosophy of Science – Philosophy of Science in Europe and the Viennese Heritage  
Is it coherent to speak of the probability of a probability, and the probability of a probability of a probability, and so on? We show that it is, in the sense that a regress of higher-order probabilities can lead to convergent sequences that determine all these probabilities. By constructing an implementable model which is based on coin-making machines, we demonstrate the consistency of our regress.
doi:10.1007/978-3-319-01899-7_17 fatcat:aoitdaq5xvefpandd35hrrtiie