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.
Peijnenburg, J. , Atkinson, D. (2014)., Biased coins a model for higher-order probabilities, in M. C. Galavotti, E. Nemeth & F. Stadler (eds.), European philosophy of science, Dordrecht, Springer, pp. 241-248.
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