query: Prove that the intervals (0, ∞) and [0, 1] have the same cardinality
positive_passages.docid: 22232
positive_passages.text: Proving that cardinality of the reals = cardinality of $[0,1]$
negative_passages.docid: 82628
negative_passages.text: Cardinality of a set of closed intervals
negative_passages.docid: 86988
negative_passages.text: Cardinality of the Irrationals
negative_passages.docid: 88028
negative_passages.text: Topology - closures of intervals with the order topology
negative_passages.docid: 149287
negative_passages.text: Prove that $A,B>0$ and $A_{ij}0$
negative_passages.docid: 140300
negative_passages.text: Does the interval $[0,1]$ contains more real numbers than $(0,2)$?
negative_passages.docid: 13273
negative_passages.text: Cardinality of the set of all real functions of real variable
negative_passages.docid: 142631
negative_passages.text: Show that A has the same cardinality as $A\setminus\{x,y,z\}$
negative_passages.docid: 79974
negative_passages.text: The cardinality of Lebesgue sets
negative_passages.docid: 65768
negative_passages.text: What is the cardinality of the set of the empty set?
negative_passages.docid: 7785
negative_passages.text: Cardinality of sum-set
negative_passages.docid: 48278
negative_passages.text: Inequality about infinite cardinals
negative_passages.docid: 91163
negative_passages.text: Let the set S be infinite, and the set T countably infinite. Show that S and S U T have the same cardinality
negative_passages.docid: 70164
negative_passages.text: Proof exercise that the cardinal number of a set in $\mathbb R^2$ is $\frak c$
negative_passages.docid: 83518
negative_passages.text: Proving Two sets have same cardinality
negative_passages.docid: 71133
negative_passages.text: prove inequlity about cardinality power sets
negative_passages.docid: 73850
negative_passages.text: Cardinality of set of functions