There exists a minimal uncountable well ordered set.
38726
What set theory axioms do I need to believe in uncountable ordinals?
75019
Infinite Cartesian product of countable sets is uncountable
66301
The cardinality of the set of countably infinite subsets of an infinite set
272
Cantor Sets/nonempty/cardinality
116676
Examples of uncountable sets with zero Lebesgue measure
86685
Example of a set $S$ that is countable, but the set of limit points is uncountable
99064
Uncountable set with exactly one limit point
52451
Ordered Triples and Set Theory
63538
Impossibility of constructing a continuum-size linearly independent set in $\Bbb R$
39956
Union of uncountable cardinals
91281
Proving the so-called "Well Ordering Principle"
13620
$\omega_2$ is a not countable union of countable sets without AC
52861
Natural Numbers and Well ordering
121860
Number of well-ordering relations on a well-orderable infinite set $A$?
70196
Is there any well-ordered uncountable set of real numbers under the original ordering?
88099
Not $\sigma$-compact set without axiom of choice
70143
Mutually exclusive countable subsets of a countable set