query: Why is the empty set a subset of every set?
positive_passages.docid: 153551
positive_passages.text: Is the null set a subset of every set?
negative_passages.docid: 36721
negative_passages.text: Is "The empty set is a subset of any set" a convention?
negative_passages.docid: 124325
negative_passages.text: Element of, subset of and empty sets
negative_passages.docid: 125957
negative_passages.text: What is the product of the empty set?
negative_passages.docid: 84609
negative_passages.text: Unary intersection of the empty set
negative_passages.docid: 762
negative_passages.text: Proving every infinite set $S$ contains a denumerable subset
negative_passages.docid: 99480
negative_passages.text: Why is predicate "all" as in all(SET) true if the SET is empty?
negative_passages.docid: 51617
negative_passages.text: What is the proof that the total number of subsets of a set is $2^n$?
negative_passages.docid: 82315
negative_passages.text: is an empty set an element of {empty set}
negative_passages.docid: 62208
negative_passages.text: If $A$ is a non-empty set, then $A \notin A$
negative_passages.docid: 102136
negative_passages.text: How many subsets contain no consecutive elements?
negative_passages.docid: 130418
negative_passages.text: Is ${\{\emptyset,\{\emptyset\},\{\{\emptyset\}\},\{\{\{\emptyset\}\}\},...\}} $ a set?
negative_passages.docid: 60775
negative_passages.text: Why are integers subset of reals?
negative_passages.docid: 71976
negative_passages.text: Is every element on a set also a set?
negative_passages.docid: 55995
negative_passages.text: Why is the supremum of the empty set $-\infty$ and the infimum $\infty$?
negative_passages.docid: 9330
negative_passages.text: Meaning behind Filter in Set Theory
negative_passages.docid: 150825
negative_passages.text: Is an empty set equal to another empty set?