Abstract
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.
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© 2014 Springer International Publishing Switzerland
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Peijnenburg, J., Atkinson, D. (2014). Biased Coins A model for higher-order probabilities. In: Galavotti, M.C., Nemeth, E., Stadler, F. (eds) European Philosophy of Science – Philosophy of Science in Europe and the Viennese Heritage. Vienna Circle Institute Yearbook, vol 17. Springer, Cham. https://doi.org/10.1007/978-3-319-01899-7_17
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DOI: https://doi.org/10.1007/978-3-319-01899-7_17
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-01898-0
Online ISBN: 978-3-319-01899-7
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