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All the time. Statistic is based on the application of probability theory!
Application in String theory in Quantum Mechanics
Set theory does have many practical business applications. Some of these include how the Turing machine is used in computer science, and the theory of crisis of foundations in math.
It is the theory of establishing three dimonsional positions of an area/field/ with respect to a known direction and known level. It is a very good application of trignometry.
Im not sure if there is any application of set notation and set theory, however set notation is important when you start learning about the domains and ranges of functions.