query: Cardinality of a set of all subsets of $P(\omega)$ with cardinality $\omega$
positive_passages.docid: 156006
positive_passages.text: Cardinality of set containing all infinite subsets of $\mathbb{Q}$
negative_passages.docid: 20085
negative_passages.text: What's the cardinality of all sequences with coefficients in an infinite set?
negative_passages.docid: 106325
negative_passages.text: Question about Cardinality
negative_passages.docid: 272
negative_passages.text: Cantor Sets/nonempty/cardinality
negative_passages.docid: 70143
negative_passages.text: Mutually exclusive countable subsets of a countable set
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: 114262
negative_passages.text: Find the cardinality of the following set $S_n=\{(x,y)|x^2+y^2=n, \text{where }x,y,n \in \mathbb Z\text{ and }n\geq0 \}$
negative_passages.docid: 147013
negative_passages.text: Subset of a finite set is finite
negative_passages.docid: 68230
negative_passages.text: The cardinality of a countable union of sets with less than continuum cardinality
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: 109054
negative_passages.text: Given an infinite set of cardinality $X$, is there a chain in $\mathcal P(X)$ of the same cardinalty of $\mathcal P(X)$?
negative_passages.docid: 14972
negative_passages.text: Cardinality of Vitali sets: countably or uncountably infinite?
negative_passages.docid: 126015
negative_passages.text: Elementary number theory in sets
negative_passages.docid: 149673
negative_passages.text: Cardinality of an infinite union of finite sets
negative_passages.docid: 121366
negative_passages.text: Intervals and cardinality
negative_passages.docid: 35692
negative_passages.text: The set of all finite subsets of the natural numbers is countable