query: Is it possible for any set to be an element of itself?
positive_passages.docid: 20140
positive_passages.text: Example of set which contains itself
negative_passages.docid: 146039
negative_passages.text: Is it always possible to define energy of a system?
negative_passages.docid: 71976
negative_passages.text: Is every element on a set also a set?
negative_passages.docid: 146260
negative_passages.text: Question about how to interpret arbitrary elements
negative_passages.docid: 118824
negative_passages.text: What is the complement of empty set?
negative_passages.docid: 31376
negative_passages.text: If null set is an element of a set then will it belongs to set or subset?
negative_passages.docid: 10472
negative_passages.text: Is every set a subset?
negative_passages.docid: 123498
negative_passages.text: Is "empty set" an element of a set?
negative_passages.docid: 63276
negative_passages.text: Is an arbitrary union of a chain of countable sets countable?
negative_passages.docid: 147136
negative_passages.text: Subset of a countable set is itself countable
negative_passages.docid: 86154
negative_passages.text: Why is this true? A set is Dedekind infinite if and only if equipotent to the union with the set containing itself
negative_passages.docid: 58594
negative_passages.text: Is the empty set a subset of itself?
negative_passages.docid: 65308
negative_passages.text: Axiom of Choice: Family of non-empty sets mutually disjoint or not?
negative_passages.docid: 92793
negative_passages.text: Can every set be written as a family?
negative_passages.docid: 117561
negative_passages.text: A set is infinite iff there is a one-to-one correspondent with one of its proper subsets?
negative_passages.docid: 7733
negative_passages.text: If A is infinite, does there have to exist a subset of A that is equivalent to A?
negative_passages.docid: 121847
negative_passages.text: Don't we need the axiom of choice to choose from a non-empty set?