User blog comment:Hyp cos/TON, stable ordinals, and my array notation/@comment-31580368-20191006023842/@comment-35470197-20191006031617

How could explicitly show the comparison? Is there a specific method in ordinal analysis which ensures your results? Since it is easy to show that your results are unable to show in ZFC set theory, I am curious about how you are confident about your results. First of all, in what set theory are you stating them?