query: Is the Cartesian product of two uncountable sets uncountable?
positive_passages.docid: 22391
positive_passages.text: Is the set of all pairs of real numbers uncountable?
negative_passages.docid: 136106
negative_passages.text: Is every open subset of $ \mathbb{R} $ uncountable?
negative_passages.docid: 136006
negative_passages.text: Prove that any countable cartesian product of countable sets is countable
negative_passages.docid: 38726
negative_passages.text: What set theory axioms do I need to believe in uncountable ordinals?
negative_passages.docid: 9651
negative_passages.text: Cardinality of cartesian product of an infinite set with N
negative_passages.docid: 108807
negative_passages.text: Subset of a cartesian product
negative_passages.docid: 71653
negative_passages.text: Why is the Cartesian product of a set $A$ and empty set an empty set?
negative_passages.docid: 19297
negative_passages.text: Is the cofinite topology on an uncountable set first countable?
negative_passages.docid: 145471
negative_passages.text: $\Gamma \subset \mathbb{R}^{+}$ is uncountable. Can we choose a sequence from $\Gamma$ of which the sum is $\infty$
negative_passages.docid: 40937
negative_passages.text: Is the set of partial order relations over $ \mathbb{N}$ countable?
negative_passages.docid: 47639
negative_passages.text: Uncountable Cartesian product of closed interval
negative_passages.docid: 127678
negative_passages.text: A partition of the unit interval into uncountably many dense uncountable subsets
negative_passages.docid: 56440
negative_passages.text: Cartesian products and families
negative_passages.docid: 15438
negative_passages.text: do all uncountable sets have same cardinality as real numbers?
negative_passages.docid: 93389
negative_passages.text: Uncountable sets of Hausdorff dimension zero
negative_passages.docid: 4912
negative_passages.text: Show that an infinite set $C$ is equipotent to its cartesian product $C\times C$
negative_passages.docid: 3645
negative_passages.text: Why Are the Reals Uncountable?