query: Infinite Sets (real rational integers)
positive_passages.docid: 155112
positive_passages.text: Are there more rational numbers than integers?
negative_passages.docid: 20085
negative_passages.text: What's the cardinality of all sequences with coefficients in an infinite set?
negative_passages.docid: 126015
negative_passages.text: Elementary number theory in sets
negative_passages.docid: 112910
negative_passages.text: Is the set of real numbers really uncountably infinite?
negative_passages.docid: 124448
negative_passages.text: For every real number $a$ there exists a sequence $r_n$ of rational numbers such that $r_n$ approaches $a$.
negative_passages.docid: 98755
negative_passages.text: How can I show that the set of rational numbers with denominator a power of two form a dense subset of the reals?
negative_passages.docid: 5022
negative_passages.text: Can a set containing $0$ be purely imaginary?
negative_passages.docid: 138446
negative_passages.text: Proving that there exists an irrational number in between any given real numbers
negative_passages.docid: 152976
negative_passages.text: Real Analysis: open and closed 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: 138977
negative_passages.text: Infinitely many rational numbers between two different real numbers
negative_passages.docid: 91237
negative_passages.text: Every infinite set contains a countable subset
negative_passages.docid: 139826
negative_passages.text: arbitrary large finite sums of an uncountable set.
negative_passages.docid: 64885
negative_passages.text: Irrational and rational sequence proof
negative_passages.docid: 122947
negative_passages.text: What is the cardinality of the set of infinite cardinalities?
negative_passages.docid: 48278
negative_passages.text: Inequality about infinite cardinals
negative_passages.docid: 84641
negative_passages.text: Infiniteness of set of primes such $f$ have root $\mod p$