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PreprintCC BY-NC-ND 4.0arXiv

Uniform generalization of Goodstein's theorem and Cichon's independence proof

Abstract

We uniformly generalize Goodstein's theorem (Goodstein 1944) and Cichon's independence proof (Cichon 1983) via the concept of maximality quotients.

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BibTeX
@misc{wilken2026uniform,
  title = {{Uniform generalization of Goodstein's theorem and Cichon's independence proof}},
  author = {Gunnar Wilken},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.24214},
  eprint = {2609.24214},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24214},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Uniform generalization of Goodstein's theorem and Cichon's independence proof
AU  - Gunnar Wilken
PY  - 2026
DA  - 2026/10/12
PB  - arXiv
DO  - 10.48550/arxiv.2609.24214
UR  - https://arxiv.org/abs/2609.24214
AB  - We uniformly generalize Goodstein's theorem (Goodstein 1944) and Cichon's independence proof (Cichon 1983) via the concept of maximality quotients.
ER  -