User blog comment:Simply Beautiful Art/Intuition behind the Mahlo OCF/@comment-39541634-20190830020147/@comment-35392788-20190902161025

Oh hey, I'm in quite the reverse situation, somewhat. I can read the definition of a Mahlo cardinal just fine, and the one stated in terms of normal functions is probably the easiest to understand. What I cannot seem to get is just the intuition of the size of a Mahlo. I don't know, it doesn't click, and I can't figure out intuitively why a Mahlo cardinal is so large (compared to inaccessibles for example) from its definition.

However, burying myself in Rathjen's (debatably organised) paper about his Mahlo OCF proved successful, and I have an okay understanding of how it works.