query: Cardinality of Real numbers in arbitrary small interval.
positive_passages.docid: 148731
positive_passages.text: Constructing a bijection between $[a,b)$ to $(0,1)$
negative_passages.docid: 108922
negative_passages.text: Cardinality and infinite sets: naturals, integers, rationals, bijections
negative_passages.docid: 156242
negative_passages.text: As many even numbers as natural numbers.
negative_passages.docid: 17022
negative_passages.text: Definable real numbers
negative_passages.docid: 94363
negative_passages.text: Prove: Any open interval has the same cardinality of $\Bbb R$ (without using trigonometric functions)
negative_passages.docid: 86988
negative_passages.text: Cardinality of the Irrationals
negative_passages.docid: 83842
negative_passages.text: Alternate proofs (other than diagonalization and topological nested sets) for uncountability of the reals?
negative_passages.docid: 41783
negative_passages.text: Cardinality of the Cartesian Product of Two Equinumerous Infinite Sets
negative_passages.docid: 39880
negative_passages.text: Cardinality of Orderings of $\mathbb{R}$
negative_passages.docid: 69166
negative_passages.text: Cardinality of $\mathbb{R}$ and $\mathbb{R}^2$
negative_passages.docid: 38764
negative_passages.text: bound on the cardinality of the continuum? I hope not
negative_passages.docid: 12436
negative_passages.text: The cardinality of the set of all finite subsets of an infinite set
negative_passages.docid: 14972
negative_passages.text: Cardinality of Vitali sets: countably or uncountably infinite?
negative_passages.docid: 101669
negative_passages.text: Cardinality of the Set of all finite subset of $\mathbb{R}$
negative_passages.docid: 324
negative_passages.text: Show uncountable set of real numbers has a point of accumulation
negative_passages.docid: 68230
negative_passages.text: The cardinality of a countable union of sets with less than continuum cardinality
negative_passages.docid: 137883
negative_passages.text: Cardinality of the set of all (real) discontinuous functions