query: random thought: are some infinite sets larger than other
positive_passages.docid: 27290
positive_passages.text: What Does it Really Mean to Have Different Kinds of Infinities?
negative_passages.docid: 66301
negative_passages.text: The cardinality of the set of countably infinite subsets of an infinite set
negative_passages.docid: 44974
negative_passages.text: Infinite set and countable subsets
negative_passages.docid: 106455
negative_passages.text: intersection of infinite collection of finite sets?
negative_passages.docid: 117561
negative_passages.text: A set is infinite iff there is a one-to-one correspondent with one of its proper subsets?
negative_passages.docid: 86685
negative_passages.text: Example of a set $S$ that is countable, but the set of limit points is uncountable
negative_passages.docid: 272
negative_passages.text: Cantor Sets/nonempty/cardinality
negative_passages.docid: 48727
negative_passages.text: Why is the Cantor set not defined by a limit?
negative_passages.docid: 59275
negative_passages.text: If $X$ is an infinite set, then $X$ with the discrete topology is not compact
negative_passages.docid: 153935
negative_passages.text: A weaker Axiom of Infinity?
negative_passages.docid: 139826
negative_passages.text: arbitrary large finite sums of an uncountable set.
negative_passages.docid: 53525
negative_passages.text: Infiniteness of non-twin primes.
negative_passages.docid: 79974
negative_passages.text: The cardinality of Lebesgue sets
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: 7733
negative_passages.text: If A is infinite, does there have to exist a subset of A that is equivalent to A?
negative_passages.docid: 108922
negative_passages.text: Cardinality and infinite sets: naturals, integers, rationals, bijections
negative_passages.docid: 24372
negative_passages.text: Infinite Set is Disjoint Union of Two Infinite Sets