query: What is countably infinite set?
positive_passages.docid: 19777
positive_passages.text: Defining "Countably Infinite"
negative_passages.docid: 56233
negative_passages.text: Is the set of all strings with countably infinite length bijective to $[0,1]$?
negative_passages.docid: 33157
negative_passages.text: Proof that an infinite subset of $\mathbb{N}$ is countable
negative_passages.docid: 272
negative_passages.text: Cantor Sets/nonempty/cardinality
negative_passages.docid: 145428
negative_passages.text: Set $A$ is countably infinite if and only if there exists a bijection $f: \mathbb{N} \rightarrow A$
negative_passages.docid: 41661
negative_passages.text: Show that the set of all finite subsets of $\mathbb{N}$ is countable.
negative_passages.docid: 119886
negative_passages.text: The cantor set is uncountable
negative_passages.docid: 19297
negative_passages.text: Is the cofinite topology on an uncountable set first countable?
negative_passages.docid: 122506
negative_passages.text: Relation on countable sets
negative_passages.docid: 76809
negative_passages.text: "Some" and "Any"; countables and uncountable
negative_passages.docid: 70143
negative_passages.text: Mutually exclusive countable subsets of a countable set
negative_passages.docid: 60678
negative_passages.text: Does 'A countable infinite Cartesian product of countable sets is not necessarily countable' violate induction principle?
negative_passages.docid: 132868
negative_passages.text: Bijection between an infinite set and its union of a countably infinite set
negative_passages.docid: 91237
negative_passages.text: Every infinite set contains a countable subset
negative_passages.docid: 99064
negative_passages.text: Uncountable set with exactly one limit point
negative_passages.docid: 23442
negative_passages.text: Cardinality of the union of infinite and countable sets
negative_passages.docid: 22240
negative_passages.text: Every infinite subset of a countable set is countable.