When LARGE also is SMALL: Conflicts between Measure Theoretic and Topological senses of a negligible set
Teddy Seidenfeld (Carnegie Mellon University)

part of: Topics in Scientific Philosophy
February 24, 2018, 7:00am - 8:00am
The Department of Logic and Philosophy of Science, University of California, Irvine

The Arnold and Mabel Beckman Center of the National Academies
100 Academy Way
Irvine 92617
United States

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University of California, Irvine
University of California, Irvine
University of California, Irvine

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Teddy Seidenfeld, Carnegie Mellon University

Title: When LARGE also is SMALL: Conflicts between Measure Theoretic and Topological senses of a negligible set.

Abstract: In this presentation I review some old and some new results about the conflicts between measure-theoretic and topological senses of being a "negligible" (or "small") set.  These results help to explain why familiar probability strong-laws cannot be reconciled with a topological perspective where P-null sets (where the strong laws fail) also are meager sets.

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