Ordinal Notation

Dmytro Taranovsky

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arXiv · 1610.04633

Ordinal Notation

Dmytro Taranovsky

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Abstract

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.

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Dmytro Taranovsky. 2016-10-13. Ordinal Notation. https://arxiv.org/abs/1610.04633

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