Ordinal Notation [article]

Dmytro Taranovsky
2018 arXiv   pre-print
We introduce a framework for ordinal notation systems, present a family of strong yet simple systems, and give many examples of ordinals in these systems. While much of the material is conjectural, we include systems with conjectured strength beyond second order arithmetic (and plausibly beyond ZFC), and prove well-foundedness for some weakened versions.
arXiv:1610.04633v3 fatcat:hl5i7zjgonhg5nyvwteh7r6ibu