Give an example of a limit ordinal which is not a cardinal and show that it is not a cardinal.
3135
Is a limit ordinal necessarily a cardinal?
120064
Proving that without the axiom of choice there is a set with an accumulation point that isn'tthe limit of a convergeant sequence
137768
Limit Ordinal Question
89749
Example of a not recursively enumerable set $A \subseteq \mathbb{N}$
18802
Cardinal Arithmetic Example Wikipedia
152516
How do we justify functions on the Ordinals
148328
Example of a function $f$ on $X$ to $\mathbb{R}$ which is not $X$-measurable but $|f|$, and $f^2$ are measurable.
81509
The cardinality of a countable union of countable sets, without the axiom of choice
19984
Example of topological spaces with continuous bijections that are not homotopy equivalent
272
Cantor Sets/nonempty/cardinality
14496
Is there any example of a non-measurable set whose proof of existence doesn't appeal to the Axiom of choice?
136081
Indecomposable limit ordinals
128766
Show that the set of functions $\mathbb{N}\to\{0,1\}$ is not countable
32127
Example where $f\circ g$ is bijective, but neither $f$ nor $g$ is bijective
97568
What's the difference between "cardinal" and "ordinal" as adjectives?
14994
Showing a function $f$ cannot be surjective
59584
A sequence of real numbers such that $\lim_{n\to+\infty}|x_n-x_{n+1}|=0$ but it is not Cauchy