User blog comment:Edwin Shade/A Complete Analysis of Taranovsky's Notation/@comment-32697988-20180127233730/@comment-32876686-20180128015913

Because it is how the definition of Taranovsky's notation works, like Veblen notation only slightly difference. I may not know the answers precisely at the moment, as a disclaimer, so you may wish to ask Deedlit11 these questions.