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I looked up set theory a couple of places (WP[1] and Britannica[2]) and didn't find any references of the OR operator in this context.. do you have a link?

[1] https://en.wikipedia.org/wiki/Algebra_of_sets

[2] https://www.britannica.com/science/set-theory/Operations-on-...

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The analogue of the OR operator in set theory is the union operator. People think of them as basically the same thing because of the correspondence between a property and the set of things with that property. If A is the property of being either B or C, then the set of the things that are A is the union of the set of things that are B and the set of things that are C.

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