Introduction and Proof of the Goodstein Sequence and Hydra Game
(2017) In Bachelor's Theses in Mathematical Sciences FMAL01 20171Mathematics (Faculty of Engineering)
- Abstract
- This thesis will introduce and prove the theorem of the Hydra Game as well as the theorem surrounding the Goodstein sequence. The two problems which are clearly intertwined will be introduced and solved with the assumption that the reader has no previous knowledge of them and little to no knowledge of ordinal numbers. All results have previusly been reached and presented, most notably by Kirby and Paris (Kirby et al, 1982). The aim of the paper is not to break ground but educate. The end of the paper will mention how these theorems show limitations of Peano Arithmetic but will not attempt to prove the statement.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/8929144
- author
- Tigerschiöld, Hermine LU
- supervisor
- organization
- course
- FMAL01 20171
- year
- 2017
- type
- M2 - Bachelor Degree
- subject
- publication/series
- Bachelor's Theses in Mathematical Sciences
- report number
- LUTFMA-4005-2017
- ISSN
- 1654-6229
- other publication id
- 2017:K20
- language
- English
- id
- 8929144
- date added to LUP
- 2018-06-07 17:53:37
- date last changed
- 2018-06-07 17:53:37
@misc{8929144, abstract = {{This thesis will introduce and prove the theorem of the Hydra Game as well as the theorem surrounding the Goodstein sequence. The two problems which are clearly intertwined will be introduced and solved with the assumption that the reader has no previous knowledge of them and little to no knowledge of ordinal numbers. All results have previusly been reached and presented, most notably by Kirby and Paris (Kirby et al, 1982). The aim of the paper is not to break ground but educate. The end of the paper will mention how these theorems show limitations of Peano Arithmetic but will not attempt to prove the statement.}}, author = {{Tigerschiöld, Hermine}}, issn = {{1654-6229}}, language = {{eng}}, note = {{Student Paper}}, series = {{Bachelor's Theses in Mathematical Sciences}}, title = {{Introduction and Proof of the Goodstein Sequence and Hydra Game}}, year = {{2017}}, }