query: Is all uncountable set is equipotent to a certain $\mathcal{P}(A)$?
positive_passages.docid: 144735
positive_passages.text: Possible cardinality of power sets
negative_passages.docid: 9021
negative_passages.text: An infinite subset of a countable set is countable
negative_passages.docid: 21250
negative_passages.text: Prove $x \equiv a \pmod{p}$ and $x \equiv a \pmod{q}$ then $x \equiv a\pmod{pq}$
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: 73350
negative_passages.text: Geometric solution to find a Set of totally ordered Subsets of $ \mathbb{N} $ is uncountable
negative_passages.docid: 60424
negative_passages.text: Uncountable family of uncountable compact subsets of $\mathbb{R}$
negative_passages.docid: 28079
negative_passages.text: Do these definitions of irreducibility of algebraic sets coincide?
negative_passages.docid: 2403
negative_passages.text: Can a countable set contain uncountably many infinite subsets such that the intersection of any two such distinct subsets is finite?
negative_passages.docid: 146006
negative_passages.text: Uncountable $\sigma$-algebra
negative_passages.docid: 71922
negative_passages.text: Prove Uncountable set minus a countable set is uncountable
negative_passages.docid: 99599
negative_passages.text: Uncountable and countable
negative_passages.docid: 24107
negative_passages.text: Bijection $f:\mathcal{P}(A)\to(A\to \{0,1\})$
negative_passages.docid: 146560
negative_passages.text: Is there any uncountably infinite set that does not generate the reals?
negative_passages.docid: 128437
negative_passages.text: How to prove that a finite set is countable
negative_passages.docid: 38726
negative_passages.text: What set theory axioms do I need to believe in uncountable ordinals?
negative_passages.docid: 146055
negative_passages.text: Proving a set of functions is uncountable
negative_passages.docid: 99854
negative_passages.text: Must an uncountable subset of R have uncountably many accumulation points?