query: Set theory - induction - countable sets
positive_passages.docid: 151928
positive_passages.text: How to prove that $N\setminus A$ is finite?
negative_passages.docid: 151521
negative_passages.text: Set Theory: Tree Property
negative_passages.docid: 69838
negative_passages.text: Does a countably infinite power set exist?
negative_passages.docid: 96025
negative_passages.text: Showing there is only one isomorphism between well ordered sets using transfinite induction
negative_passages.docid: 84936
negative_passages.text: The set of all finite sequences of members of a countable set is also countable
negative_passages.docid: 41192
negative_passages.text: Neatest proof that set of finite subsets is countable?
negative_passages.docid: 35692
negative_passages.text: The set of all finite subsets of the natural numbers is countable
negative_passages.docid: 2269
negative_passages.text: Proof that the real numbers are countable: Help with why this is wrong
negative_passages.docid: 51094
negative_passages.text: Prove that the set of integer coefficients polynomials is countable
negative_passages.docid: 32774
negative_passages.text: Finite Cartesian Product of Countable sets is countable?
negative_passages.docid: 108922
negative_passages.text: Cardinality and infinite sets: naturals, integers, rationals, bijections
negative_passages.docid: 9021
negative_passages.text: An infinite subset of a countable set is countable
negative_passages.docid: 119649
negative_passages.text: Every metrizable space with a countable dense subset has a countable basis
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: 95747
negative_passages.text: Number of countable subsets of $\mathbb{R}$
negative_passages.docid: 99599
negative_passages.text: Uncountable and countable
negative_passages.docid: 91237
negative_passages.text: Every infinite set contains a countable subset