Kolmogorov’s axioms present an abstract conceptual formalisation of probability that runs counter to our intuitive image of randomness and its concrete instances. But are the relations between concept and intuition, concrete and abstract, so straightforward? And does the revolutionary historical sequence leading from set theory and measure theory to abstract probability occlude a deeper, conceptual order of priority? Elie Ayache takes the true measure of this revolution in our understanding of randomness and probability, and its as yet unthought ramifications.

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