06-23-2026, 12:27 PM
Zero Probability
BY Dan David November
Summary
The paper “Zero Probability” explores a fascinating idea in the philosophy of probability: why an event with probability zero does not always mean that it is impossible. Using the foundations of Kolmogorov probability theory, the author explains that probability zero can describe events that are still possible, especially in situations involving infinitely many outcomes, such as randomly choosing an exact number from a continuous range.
The paper argues that there are several reasons for this: the event may simply exist as a possible outcome, the zero value may represent an extremely small (infinitesimal) probability, or different interpretations of probability may assign different values to the same event. In simple terms, the article shows that mathematics makes a careful distinction between “almost never happens” and “can never happen,” reminding us that probability is not always a direct measure of possibility.
ARTICLE
BY Dan David November
Summary
The paper “Zero Probability” explores a fascinating idea in the philosophy of probability: why an event with probability zero does not always mean that it is impossible. Using the foundations of Kolmogorov probability theory, the author explains that probability zero can describe events that are still possible, especially in situations involving infinitely many outcomes, such as randomly choosing an exact number from a continuous range.
The paper argues that there are several reasons for this: the event may simply exist as a possible outcome, the zero value may represent an extremely small (infinitesimal) probability, or different interpretations of probability may assign different values to the same event. In simple terms, the article shows that mathematics makes a careful distinction between “almost never happens” and “can never happen,” reminding us that probability is not always a direct measure of possibility.
ARTICLE
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