query: Can every uncountable set be expressed as a disjoint union of uncountable sets?
positive_passages.docid: 28539
positive_passages.text: Does any uncountable set contain two disjoint uncountable sets?
negative_passages.docid: 82947
negative_passages.text: Undecidable cardinality
negative_passages.docid: 91485
negative_passages.text: Finding an uncountable chain of subsets the integers
negative_passages.docid: 67064
negative_passages.text: Uncountable minus countable set is uncountable
negative_passages.docid: 19414
negative_passages.text: Uncountable subset with uncountable complement, without the Axiom of Choice
negative_passages.docid: 132868
negative_passages.text: Bijection between an infinite set and its union of a countably infinite set
negative_passages.docid: 154474
negative_passages.text: Image of countable and uncountable sets
negative_passages.docid: 47639
negative_passages.text: Uncountable Cartesian product of closed interval
negative_passages.docid: 130981
negative_passages.text: Co-countable measure on uncountable set
negative_passages.docid: 155777
negative_passages.text: Show that infinite Cartesian product is uncountable
negative_passages.docid: 36315
negative_passages.text: Is $[0,1]$ a countable disjoint union of closed sets?
negative_passages.docid: 3217
negative_passages.text: Construction of uncountably many non-isomorphic linear (total) orderings of natural numbers
negative_passages.docid: 142144
negative_passages.text: Countable or uncountable; family of disjoint triangles?
negative_passages.docid: 117133
negative_passages.text: Is there an infinite countable $\sigma$-algebra on an uncountable set
negative_passages.docid: 50880
negative_passages.text: Expressing $\Bbb N$ as an infinite union of disjoint infinite subsets.
negative_passages.docid: 108957
negative_passages.text: Cardinality of a totally ordered union
negative_passages.docid: 146055
negative_passages.text: Proving a set of functions is uncountable