query: Why does an empty intersection (for families) not make sense?
positive_passages.docid: 28523
positive_passages.text: When would the intersection of the empty set mean anything?
negative_passages.docid: 146016
negative_passages.text: no cycles if and only if has $n-m$ connected components
negative_passages.docid: 65549
negative_passages.text: What is the cartesian product of an empty set of sets?
negative_passages.docid: 112817
negative_passages.text: Two circles intersection
negative_passages.docid: 21570
negative_passages.text: Intersection of a family of non-empty closed intervals
negative_passages.docid: 50966
negative_passages.text: In a topological space, why the intersection only has to be finite?
negative_passages.docid: 146891
negative_passages.text: Why is $\{\emptyset\} \not = \emptyset$?
negative_passages.docid: 84609
negative_passages.text: Unary intersection of the empty set
negative_passages.docid: 74077
negative_passages.text: A intersection (A union B)
negative_passages.docid: 88205
negative_passages.text: How can I define a topology on the empty set?
negative_passages.docid: 70538
negative_passages.text: Intersection and union of simply connected domain
negative_passages.docid: 45508
negative_passages.text: Is the empty set a group?
negative_passages.docid: 103314
negative_passages.text: Let $\{K_n \}_{n \in \mathbb{N}}$ be a collection of sets, where $K_n = [n, \infty)$. Why is $\bigcap_{n \in \mathbb{N}} K_{n}$ empty?
negative_passages.docid: 18493
negative_passages.text: Why is an empty function considered a function?
negative_passages.docid: 5215
negative_passages.text: Can the principle of inclusion/exclusion be used to count elements in the intersection of a sequence of sets?
negative_passages.docid: 60640
negative_passages.text: 2-party private set intersection
negative_passages.docid: 38807
negative_passages.text: Does set difference distribute over set intersection?