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There is a classical probability-free notion of the logic independence of two sets A and B of events, in the sense that no conclusion about an event of B can be drawn knowing the outcome of the events in A, and vice versa. On the other hand, in probability textbooks, events a and b are said to be stochastically independent if the probability of \(a\wedge b\) is the product of the probabilities of a and b.

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Logic-Algebraic Independence and the Product Law

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  • 发表日期：

    2026年

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  • Daniele Mundici

摘要

There is a classical probability-free notion of the logic independence of two sets A and B of events, in the sense that no conclusion about an event of B can be drawn knowing the outcome of the events in A, and vice versa. On the other hand, in probability textbooks, events a and b are said to be stochastically independent if the probability of \(a\wedge b\) is the product of the probabilities of a and b.