Abstract
dc:description.abstractThis project explores the mathematical proof method of transfinite induction. Transfinite induction is mathematical induction beyond the natural numbers. These numbers are called ordinals, denoted by Greek letters. This thesis will introduce fundamental concepts of set theory, starting from the formal definition of natural numbers. We aim to provide a clear development of set theory by building definitions and theorems sequentially with examples and explanations. This structured approach will ensure that unfamiliar and familiar readers can follow the logical progression to prove major theorems used in different mathematical contexts highlighting transfinite induction's relevance in mathematics.
Degree
thesis:*- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- Texas State University
- Year dc:date.issued
- 2025
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Del Rio, Jonathan
- Advisor dc:contributor.advisor
-
- Boney, William
Subjects
dc:subject × 3Rights
- Language dc:language.iso
- en
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- https://hdl.handle.net/10877/21672
- OAI identifier oai:identifier
- oai:digital.library.txst.edu:10877/21672