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    @nomen Not that this answer addresses it, but INNER JOIN is an intersection and FULL OUTER JOIN is the corresponding UNION if the left & right sets/circles contain the rows of (respectively) LEFT & RIGHT join. PS This answer is unclear about rows in input vs output. It confuses "in the left/right table" with "has a left/right part in the left/right" and it uses "matched row" vs "all" to mean row extended by row from other table vs by nulls. Commented Nov 29, 2015 at 1:17