User blog comment:Boboris02/Ordinal Analysis of Theories/@comment-11227630-20180213035846/@comment-30754445-20180214130408

This is starting to look like an argument for the sake of an argument.

The bottom line is that in the specific case of TON (which has an algorithm for fundamental sequences defined for it), proving its well-foundness in theory X would imply that TON is weaker than PTO(X).

Do you agree with this statement, Hyp Cos?