query: A difficulty in the proof that $2^{\mathbb{N}}$ is uncountable.
positive_passages.docid: 6681
positive_passages.text: How does Cantor's diagonal argument work?
negative_passages.docid: 76597
negative_passages.text: Examples of provably${}^n$ unprovable statements
negative_passages.docid: 79056
negative_passages.text: Prove that $\mathbb Z^n$ is not isomorphic to $\mathbb Z^m$ for $m\neq n$
negative_passages.docid: 125668
negative_passages.text: A proof that BS(1,2) is not polycyclic
negative_passages.docid: 73350
negative_passages.text: Geometric solution to find a Set of totally ordered Subsets of $ \mathbb{N} $ is uncountable
negative_passages.docid: 69046
negative_passages.text: Proof of $\mathbb{Q}$ is not cyclic
negative_passages.docid: 22391
negative_passages.text: Is the set of all pairs of real numbers uncountable?
negative_passages.docid: 125604
negative_passages.text: Proof that $\mathbb{Z}$ has no zero divisors
negative_passages.docid: 99599
negative_passages.text: Uncountable and countable
negative_passages.docid: 72750
negative_passages.text: Uncountable number of mutually disjoint countable sets in $\mathbb R$
negative_passages.docid: 7607
negative_passages.text: How to prove that $\mathbb{Q}$ is not the intersection of a countable collection of open sets.
negative_passages.docid: 47639
negative_passages.text: Uncountable Cartesian product of closed interval
negative_passages.docid: 114277
negative_passages.text: Proving in Discrete Structures Problem that $2^N = \binom{N}{0} + \binom{N}{1} + \binom{N}{2} + \dots + \binom{N}{N}$
negative_passages.docid: 115782
negative_passages.text: Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
negative_passages.docid: 113342
negative_passages.text: Confusion of the decidability of $(N,s)$
negative_passages.docid: 91485
negative_passages.text: Finding an uncountable chain of subsets the integers
negative_passages.docid: 125683
negative_passages.text: Power set of a finite set is finite proof, no cardinality of power set