query: Cartesian product of finite sets can't be countably infinite
positive_passages.docid: 155777
positive_passages.text: Show that infinite Cartesian product is uncountable
negative_passages.docid: 152382
negative_passages.text: Can an infinite set A be larger than an infinite set B but still have the same cardinality?
negative_passages.docid: 86685
negative_passages.text: Example of a set $S$ that is countable, but the set of limit points is uncountable
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: 119624
negative_passages.text: A Dedekind infinite set has a countably infinite proper subset
negative_passages.docid: 157081
negative_passages.text: The cartesian product of a finite amount of countable sets is countable.
negative_passages.docid: 154474
negative_passages.text: Image of countable and uncountable sets
negative_passages.docid: 27540
negative_passages.text: A polynomial can not have infinite number of constant values
negative_passages.docid: 100476
negative_passages.text: Why does a Hausdorff but not countably compact space have an infinite closed discrete subset?
negative_passages.docid: 125411
negative_passages.text: Infinite set always has a countably infinite subset
negative_passages.docid: 19414
negative_passages.text: Uncountable subset with uncountable complement, without the Axiom of Choice
negative_passages.docid: 155168
negative_passages.text: Is the collection of finite subsets of $\mathbb{Z}$ countable?
negative_passages.docid: 53593
negative_passages.text: Limits of sequences of sets
negative_passages.docid: 119886
negative_passages.text: The cantor set is uncountable
negative_passages.docid: 102113
negative_passages.text: Proof that the number of proofs is countably infinite
negative_passages.docid: 128437
negative_passages.text: How to prove that a finite set is countable
negative_passages.docid: 80414
negative_passages.text: Countable Product of Sequentially Compact spaces is Sequentially Compact