Reverse-engineering Reverse Mathematics
โ Scribed by Sanders, Sam
- Book ID
- 119947130
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 281 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0168-0072
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract One of the earliest applications of transfinite numbers is in the construction of derived sequences by Cantor [2]. In [6], the existence of derived sequences for countable closed sets is proved in ATR~0~. This existence theorem is an intermediate step in a proof that a statement concern
This paper uses the framework of reverse mathematics to analyze the proof theoretic content of several statements concerning multiplication of countable well-orderings. In particular, a division algorithm for ordinal arithmetic is shown t o be equivalent t o the subsystem ATRo.