existence of uncountably many subsets of natural numbers
2403
Can a countable set contain uncountably many infinite subsets such that the intersection of any two such distinct subsets is finite?
144821
Number of ordered pairs of subsets
22391
Is the set of all pairs of real numbers uncountable?
121685
Is there a bijection of the natural numbers which swaps $\frac{1}{n}$-summable subsets with $\frac{1}{\sqrt{n}}$-summable subsets?
70196
Is there any well-ordered uncountable set of real numbers under the original ordering?
155168
Is the collection of finite subsets of $\mathbb{Z}$ countable?
124847
Is the set of surjective functions from $\mathbb{N}$ to $\mathbb{N}$ uncountable?
156660
The set of all strictly increasing sequences of natural numbers
158882
Prove the existence of some weird family of sets
92571
Sets with no asymptotical density over $\mathbb N$
39956
Union of uncountable cardinals
75019
Infinite Cartesian product of countable sets is uncountable
139826
arbitrary large finite sums of an uncountable set.
52682
Is the power set of the natural numbers countable?
13779
Canonical copies of sets
59535
Prove that there exists such a set of $n$ positive integers
154474
Image of countable and uncountable sets