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Randomness and foundations of probability: von Mises' axiomatisation of random sequences

Randomness and foundations of probability: von Mises' axiomatisation of random sequences

We discuss von Mises' notion of a random sequence in the context of his approach to probability theory.We claim that the acceptance of Kolmogorov's rival axiomatisation was due to a different intuition about probability getting the upper hand, as illustrated by the notion of a martingale.We also discuss the connection …