A problem to find a countable set with an uncountable family of subsets.
140799
Prove that there exist uncountable family of subsets of $\mathbb{N}$ which is linearly (totally) ordered by relation of inclusion.
107614
Partitioning an infinite set
19924
Uncountable ordinals without power set axiom
116676
Examples of uncountable sets with zero Lebesgue measure
23442
Cardinality of the union of infinite and countable sets
136106
Is every open subset of $ \mathbb{R} $ uncountable?
158671
Cardinality of a set that consists of all existing cardinalities
63678
Let $A$ and $B$ be countable sets. Is there any function $f$ such that a certain condition holds for an uncountable number of functions $g$?
130981
Co-countable measure on uncountable set
146098
Number of nonempty subsets of a set with $n$ elements
21431
The set of all functions from $\mathbb{N} \to \{0, 1\}$ is uncountable?
44214
The number of subsets of a set of cardinality $n$
79974
The cardinality of Lebesgue sets
88904
Help with a proof. Countable sets.
70143
Mutually exclusive countable subsets of a countable set
9021
An infinite subset of a countable set is countable
127678
A partition of the unit interval into uncountably many dense uncountable subsets