Is there an uncountable family of infinite parts of $\mathbb N$ with two to two intersection finite?
2403
Can a countable set contain uncountably many infinite subsets such that the intersection of any two such distinct subsets is finite?
140799
Prove that there exist uncountable family of subsets of $\mathbb{N}$ which is linearly (totally) ordered by relation of inclusion.
63129
Infinite number of $k$ satisfying $p_{k+1} - p_{k} > 2$?
93389
Uncountable sets of Hausdorff dimension zero
132537
Class of sets of a given infinite cardinality
114770
Proof that a perfect set is uncountable
75970
$\mathbb Z[1/2]$ is not finitely generated?
87356
Are there any known uncountable transfinite increasing sequences of real numbers?
136106
Is every open subset of $ \mathbb{R} $ uncountable?
103427
When is $\operatorname{Hom}_A(M,N)$ finitely generated?
146560
Is there any uncountably infinite set that does not generate the reals?
73350
Geometric solution to find a Set of totally ordered Subsets of $ \mathbb{N} $ is uncountable
145471
$\Gamma \subset \mathbb{R}^{+}$ is uncountable. Can we choose a sequence from $\Gamma$ of which the sum is $\infty$
40937
Is the set of partial order relations over $ \mathbb{N}$ countable?
139078
Infinite partition of $\mathbb N$ by infinite subsets
53525
Infiniteness of non-twin primes.
50880
Expressing $\Bbb N$ as an infinite union of disjoint infinite subsets.