Can a set $S$ of subsets of $\mathbb{N}$ such that either $P \subset Q$ or $Q \subset P$ for all $P,Q \in S$ be uncountable?
113668
Uncountable chain of subsets of $\mathbb N$
75019
Infinite Cartesian product of countable sets is uncountable
5313
Existence of how many sets is asserted by the axiom of choice in this case?
44974
Infinite set and countable subsets
19297
Is the cofinite topology on an uncountable set first countable?
67064
Uncountable minus countable set is uncountable
136106
Is every open subset of $ \mathbb{R} $ uncountable?
858
Is $\{\emptyset\}$ a subset of $\{\{\emptyset\}\}$?
91485
Finding an uncountable chain of subsets the integers
130771
Sets and the principle of inclusion and exclusion
51687
Is the set $ \ (\mathbb{Z}_p \setminus \mathbb{Z}) \cap \mathbb{Q}$ non-empty?
40937
Is the set of partial order relations over $ \mathbb{N}$ countable?
30587
Uncountable well ordered set in $Z^-$ theory.
124847
Is the set of surjective functions from $\mathbb{N}$ to $\mathbb{N}$ uncountable?
76405
Let n be an even integer. How many different ways can I choose subsets of the set {1,2...,n}
2403
Can a countable set contain uncountably many infinite subsets such that the intersection of any two such distinct subsets is finite?
83116
Uncountability of basis of $\mathbb R^{\mathbb N}$