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Membership with Uncertainty

Classical logic insists on just True or just False, but real life needs nuance. In this video we explore a real-world situation where membership requires qualifications and best fits in a type of logic that depends on possible worlds. Modal logic. The change in membership changes the associate ways we would talk about the set theory we get from this membership and it might be better match for many situations you encounter when working with data. Some of the examples here are based off of an excellent book by Andrii Gakhov, Probabilistic Data Structures and Algorithms for Big Data Applications, 2019, https://github.com/gakhov/pdsa