User blog comment:Googleaarex/Bashicu Matrix System Analysis (Part 1)/@comment-27516045-20170725132813/@comment-30754445-20170725224128

I second Username's request.

I have no idea how SAN works even at the lower levels, so my only hope of understanding your analysis beyond ψ(ψᵢ(0)) is to learn this completely new notation from the very beginning all the way up to ψ(ψᵢ(0)) and beyond. From looking at the SAN website, it looks like this would require going through 7 very long and very dense pages in which no effort was made to make the stuff accessible to the reader. And there seems to be no assurance that the system even works as advertised.

On the other hand, those who "don't understand inaccessible cardinals" would only have to learn a handful of new concepts, and they have Deedlit's excellent tutorial to follow.

So no matter how you look it, ordinals are the way to go.