query: Looking for the cardinality of a collection of subsets of an infinite set
positive_passages.docid: 135694
positive_passages.text: Proving $\kappa^{\lambda} = |\{X: X \subseteq \kappa, |X|=\lambda\}|$
negative_passages.docid: 156006
negative_passages.text: Cardinality of set containing all infinite subsets of $\mathbb{Q}$
negative_passages.docid: 111954
negative_passages.text: Computing the cardinality of a combinatorial set
negative_passages.docid: 91163
negative_passages.text: Let the set S be infinite, and the set T countably infinite. Show that S and S U T have the same cardinality
negative_passages.docid: 144787
negative_passages.text: Show that the set of all infinite subsets of $\mathbb{N}$ has cardinality greater than $\mathbb{N}$
negative_passages.docid: 97697
negative_passages.text: Countable union of sets of cardinality $c$ has cardinality $c$
negative_passages.docid: 118595
negative_passages.text: Proving that a set is countable by finding a bijection
negative_passages.docid: 132025
negative_passages.text: Is there an alternative to Cantor's cardinalities that makes proper subsets smaller than their sets?
negative_passages.docid: 70940
negative_passages.text: Homework - set theory infinite union
negative_passages.docid: 33157
negative_passages.text: Proof that an infinite subset of $\mathbb{N}$ is countable
negative_passages.docid: 2403
negative_passages.text: Can a countable set contain uncountably many infinite subsets such that the intersection of any two such distinct subsets is finite?
negative_passages.docid: 158671
negative_passages.text: Cardinality of a set that consists of all existing cardinalities
negative_passages.docid: 31969
negative_passages.text: Partition of N into infinite number of infinite disjoint sets?
negative_passages.docid: 48278
negative_passages.text: Inequality about infinite cardinals
negative_passages.docid: 62687
negative_passages.text: Proving Cardinality of Cosets in Abstract Algebra
negative_passages.docid: 117658
negative_passages.text: A set with n elements has 2^n subsets
negative_passages.docid: 44214
negative_passages.text: The number of subsets of a set of cardinality $n$