Zero or One: Kolmogorov’s Infinite Truths

A guided tour of Kolmogorov’s zero-one law: why certain events in infinite sequences are almost surely true or almost surely impossible, regardless of any finite initial segment. We’ll explore tail events, independence, and intuitive examples like infinite coin tosses, plus connections to percolation theory and measure theory. Along the way we’ll untangle the paradox of knowing the outcome must be 0 or 1 but not which one—and what this means for understanding randomness.

Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.

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