query: Onto mappings from S to the set of all subsets of S
positive_passages.docid: 20706
positive_passages.text: Non-existence of a Surjective Function from a Set to Its Subsets (Cantor's theorem)
negative_passages.docid: 1627
negative_passages.text: Cartesian product of an arbitrary number of sets
negative_passages.docid: 120376
negative_passages.text: Schema of separation and set of all sets
negative_passages.docid: 95373
negative_passages.text: Additive set function on a semiring of sets
negative_passages.docid: 117658
negative_passages.text: A set with n elements has 2^n subsets
negative_passages.docid: 112231
negative_passages.text: Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
negative_passages.docid: 44214
negative_passages.text: The number of subsets of a set of cardinality $n$
negative_passages.docid: 77171
negative_passages.text: How to find unique multisets of n naturals of a given domain and their numbers?
negative_passages.docid: 91485
negative_passages.text: Finding an uncountable chain of subsets the integers
negative_passages.docid: 142583
negative_passages.text: Subsets of the Cantor set
negative_passages.docid: 42794
negative_passages.text: Prove that functions map countable sets to countable sets
negative_passages.docid: 13779
negative_passages.text: Canonical copies of sets
negative_passages.docid: 45792
negative_passages.text: Rigorous proof that surjectivity implies injectivity for finite sets
negative_passages.docid: 70143
negative_passages.text: Mutually exclusive countable subsets of a countable set
negative_passages.docid: 130156
negative_passages.text: Image of the union and intersection of sets.
negative_passages.docid: 59530
negative_passages.text: Efficiently finding the intersection of a variable number of sets of strings
negative_passages.docid: 135743
negative_passages.text: Collection of subset generating every pairs of elements