Biased coins: A model for higher-order probabilities

Peijnenburg, J. & Atkinson, D. 2014 European philosophy of science: Philosophy of science in Europe and the Viennese heritage. Galavotti, M. C., Nemeth, E. & Stadler, F. (eds.). Springer, p. 241-248 8 p. (Vienna Circle Institute Yearbook; vol. 17)

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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.
Original languageEnglish
Title of host publicationEuropean philosophy of science
Subtitle of host publicationPhilosophy of science in Europe and the Viennese heritage
EditorsM.C. Galavotti, E. Nemeth, F. Stadler
Number of pages8
ISBN (Electronic)978-3-319-01899-7
ISBN (Print)978-3-319-01898-0
StatePublished - 2014

Publication series

NameVienna Circle Institute Yearbook
ISSN (Print)0929-6328

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