User blog comment:Scorcher007/Biggest ordinal's table/@comment-1605058-20180527075709/@comment-31580368-20180527143310

Ok, thank. This means, hierarchy of strength: PTO of ZFC PTO of MK PTO of ZFC +1-inaccessible PTO of MK +1-inaccessible ... But what about "When doing this with 0-indescribability, one achieves 1-indescribability (which is considerably stronger). When doing this with 0-extendibility (which is equiconsistent with ZFC), one achieves 1-extendibility." from thttp://cantorsattic.info/Second-order