query: Why is $\emptyset$ not $\{\emptyset\}$?
positive_passages.docid: 146891
positive_passages.text: Why is $\{\emptyset\} \not = \emptyset$?
negative_passages.docid: 68244
negative_passages.text: Is ∅ equivalent to {∅}?
negative_passages.docid: 27025
negative_passages.text: How do I choose an element from a non-empty set?
negative_passages.docid: 111349
negative_passages.text: Finite automaton that recognizes the empty language $\emptyset$
negative_passages.docid: 67064
negative_passages.text: Uncountable minus countable set is uncountable
negative_passages.docid: 26008
negative_passages.text: Why there is a unique empty set?
negative_passages.docid: 118824
negative_passages.text: What is the complement of empty set?
negative_passages.docid: 124325
negative_passages.text: Element of, subset of and empty sets
negative_passages.docid: 130418
negative_passages.text: Is ${\{\emptyset,\{\emptyset\},\{\{\emptyset\}\},\{\{\{\emptyset\}\}\},...\}} $ a set?
negative_passages.docid: 47697
negative_passages.text: Russell's paradox: a set cannot contain its own powerset
negative_passages.docid: 109219
negative_passages.text: How do the sets $\emptyset\times B,\ A\ \times \emptyset, \ \emptyset \times \emptyset $ look like?
negative_passages.docid: 16056
negative_passages.text: Is empty set element of every set if it is subset of every set?
negative_passages.docid: 107215
negative_passages.text: Is $\emptyset \in \emptyset$ or $\emptyset \subseteq \emptyset$?
negative_passages.docid: 110669
negative_passages.text: Linear span of the empty set
negative_passages.docid: 132692
negative_passages.text: Nonempty set mapped to $\emptyset$ and vice-versa
negative_passages.docid: 18493
negative_passages.text: Why is an empty function considered a function?
negative_passages.docid: 156233
negative_passages.text: Why does the set of all singleton sets not exist?