Is the set of partial order relations over $ \mathbb{N}$ countable?
16553
Cardinality of the set of all total orders on $\Bbb{N}$
153652
Countable ordinals are embeddable in the rationals $\Bbb Q$ -- proofs and their use of AC
45878
Elementary Set Theory: Ordinals, Well Orderings and Isomorphisms
44623
Closed set as a countable intersection of open sets
23442
Cardinality of the union of infinite and countable sets
44974
Infinite set and countable subsets
133266
If $(X, \mathcal{T})$ has a countable subbasis, then it has a countable basis
52451
Ordered Triples and Set Theory
39880
Cardinality of Orderings of $\mathbb{R}$
29232
Find total number of relations that are equivalence as well as partial order set
140799
Prove that there exist uncountable family of subsets of $\mathbb{N}$ which is linearly (totally) ordered by relation of inclusion.
67451
Building a bijection from a finite union of countable sets to $\mathbb{N}$
51094
Prove that the set of integer coefficients polynomials is countable
73350
Geometric solution to find a Set of totally ordered Subsets of $ \mathbb{N} $ is uncountable
30587
Uncountable well ordered set in $Z^-$ theory.
118595
Proving that a set is countable by finding a bijection
62977
Show on $\mathbb{N}$ there are $2^{\aleph_0}$ nonisomorphic linear orders.