User blog comment:Ikosarakt1/Extension of Chris Bird's array notation./@comment-5529393-20130307073923

Are you sure about these ordinal comparisons? Chris Bird and I have discussed extensions that a believe extended much further than what you mention above, and Chris was of the opinion that they did not reach the level of \(\vartheta (\Omega_2) \), much less \(\vartheta (\Omega_{\omega}) \) and higher!