Order type of subsets of $\mathbb{R}$
70196
Is there any well-ordered uncountable set of real numbers under the original ordering?
140799
Prove that there exist uncountable family of subsets of $\mathbb{N}$ which is linearly (totally) ordered by relation of inclusion.
52451
Ordered Triples and Set Theory
69166
Cardinality of $\mathbb{R}$ and $\mathbb{R}^2$
3217
Construction of uncountably many non-isomorphic linear (total) orderings of natural numbers
6478
Prove that for any infinite poset there is an infinite subset which is either linearly ordered or antichain.
73927
Is $\mathbb{R}$ a subset of $\mathbb{R}^2$?
82009
Prove that every totally ordered set has a well-ordered cofinal subset
45878
Elementary Set Theory: Ordinals, Well Orderings and Isomorphisms
144821
Number of ordered pairs of subsets
40937
Is the set of partial order relations over $ \mathbb{N}$ countable?
101669
Cardinality of the Set of all finite subset of $\mathbb{R}$
40071
What is the cardinality of the set of all topologies on $\mathbb{R}$?
151210
How can we find and categorize the subgroups of $\mathbb{R}$?
146062
A "Cantor-Schroder-Bernstein" theorem for partially-ordered-sets
45405
An elementary way to show any bounded subset of $\Bbb{R}^k$ is totally bounded
138279
Multiplicative order and powers