New posts in ordinals

What are the most prominent uses of transfinite induction outside of set theory?

show that every continuous real-valued function defined on $S_{\mathbb{\Omega}}$ is eventually constant

What are some good open problems about countable ordinals?

Uncountable ordinals without power set axiom

Ordinal numbers replacement

Examples of transfinite induction

For all infinite cardinals $\kappa, \ (\kappa \times \kappa, <_{cw}) \cong (\kappa, \in).$

Principle of Transfinite Induction

Countable ordinals in the reals

Proving that the class of all ordinals is well ordered under $\in$

How is $\epsilon_0$ countable?

Conflicting definitions of "continuity" of ordinal-valued functions on the ordinals

What is the ordinal number for the set of binary strings ordered lexicographically?

What ordinals correspond to tuples ordered lexicographically?

A Question about the Cumulative Hierarchy.

Is the class of cardinals totally ordered?

Definition of Ordinals in Set Theory in Layman Terms

Intuition for $\omega^\omega$

Is there an easy way to create ordinals in C#?

Countable compact spaces as ordinals