disjoint

And Frey also argues there is a “massive disjoint” between the political commentary on social media and what he sees on the ground.

He said there’s a “massive disjoint” between what he’s hearing from those communities compared to what white progressive activists are saying.

For example, there is a concept known as the disjoint union of two sets A and B. Like the ordinary union, the disjoint union A ⨆ B has a copy of every element of A and a copy of every element of B. Unlike in the ordinary union, however, if A and B have an element in common, then the disjoint union A ⨆ B has two copies of that element, one of which somehow remembers that it came from A, and the other somehow remembers it came from B.

There are many different ways to construct the disjoint union using the axioms of set theory, which will not produce exactly the same set but will, necessarily, produce isomorphic ones.

Rather than wasting time arguing about which construction is the most canonical, it is more convenient to just sweep this ambiguity under the rug and refer to “the” disjoint union when one means to consider any particular set that satisfies the desired universal property.