Sets and Probability.

In this article the idea of random variables over the set theoretic universe is investigated. We explore what it can mean for a random set to have a specific probability of belonging to an antecedently given class of sets, or, in other words, to have a specific probability of having a given set-theo...

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Bibliographic Details
Published in:Erkenntnis Vol. 89; no. 8; pp. 3137 - 3163
Main Authors: Horsten, Leon, Brickhill, Hazel
Format: Article
Published: Springer Nature Dec2024
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Online Access:View this record in EBSCOhost
Description
Summary:In this article the idea of random variables over the set theoretic universe is investigated. We explore what it can mean for a random set to have a specific probability of belonging to an antecedently given class of sets, or, in other words, to have a specific probability of having a given set-theoretic property.